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22161361251240 = 2332516322316961
BaseRepresentation
bin1010000100111110110000…
…00100001010101110101000
32220110121100100222020021100
411002133120010022232220
510401042431440014430
6115044442214441400
74445051122361451
oct502373004125650
986417310866240
1022161361251240
117074642754202
12259b02b063260
13c49a65b17313
14568889328128
1528670408e960
hex1427d810aba8

22161361251240 has 144 divisors (see below), whose sum is σ = 72469033820820. Its totient is φ = 5873437992960.

The previous prime is 22161361251203. The next prime is 22161361251269. The reversal of 22161361251240 is 4215216316122.

22161361251240 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 361 + 2 + 51 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20601595054404 + 1559766196836 = 4538898^2 + 1248906^2 .

It is a super-2 number, since 2×221613612512402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22161361251195 and 22161361251204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8406360 + ... + 10723320.

Almost surely, 222161361251240 is an apocalyptic number.

22161361251240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22161361251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36234516910410).

22161361251240 is an abundant number, since it is smaller than the sum of its proper divisors (50307672569580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22161361251240 is a wasteful number, since it uses less digits than its factorization.

22161361251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317304 (or 2317134 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 22161361251240 its reverse (4215216316122), we get a palindrome (26376577567362).

The spelling of 22161361251240 in words is "twenty-two trillion, one hundred sixty-one billion, three hundred sixty-one million, two hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2445 2934 3260 3912 4890 5868 6520 7335 9780 11736 14670 19560 26569 29340 53138 58680 79707 106276 132845 159414 212552 239121 265690 318828 398535 478242 531380 637656 797070 956484 1062760 1195605 1594140 1912968 2316961 2391210 3188280 4633922 4782420 6950883 9267844 9564840 11584805 13901766 18535688 20852649 23169610 27803532 34754415 41705298 46339220 55607064 69508830 83410596 92678440 104263245 139017660 166821192 208526490 278035320 377664643 417052980 755329286 834105960 1132993929 1510658572 1888323215 2265987858 3021317144 3398981787 3776646430 4531975716 5664969645 6797963574 7553292860 9063951432 11329939290 13595927148 15106585720 16994908935 22659878580 27191854296 33989817870 45319757160 61559336809 67979635740 123118673618 135959271480 184678010427 246237347236 307796684045 369356020854 492474694472 554034031281 615593368090 738712041708 923390052135 1108068062562 1231186736180 1477424083416 1846780104270 2216136125124 2462373472360 2770170156405 3693560208540 4432272250248 5540340312810 7387120417080 11080680625620 22161361251240