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22452241240 = 23511134195737
BaseRepresentation
bin10100111010010000…
…100000001101011000
32010221201212000211101
4110322100200031120
5331440233204430
614151525241144
71423246621162
oct247220401530
963851760741
1022452241240
119581783180
1244272631b4
13216a754b60
14112dc63932
158b61b0dca
hex53a420358

22452241240 has 128 divisors (see below), whose sum is σ = 60797459520. Its totient is φ = 7352524800.

The previous prime is 22452241237. The next prime is 22452241249. The reversal of 22452241240 is 4214225422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22452241199 and 22452241208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22452241249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186652 + ... + 282388.

Almost surely, 222452241240 is an apocalyptic number.

22452241240 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 22452241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30398729760).

22452241240 is an abundant number, since it is smaller than the sum of its proper divisors (38345218280).

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

22452241240 is a wasteful number, since it uses less digits than its factorization.

22452241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95813 (or 95809 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 22452241240 its reverse (4214225422), we get a palindrome (26666466662).

The spelling of 22452241240 in words is "twenty-two billion, four hundred fifty-two million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 41 44 52 55 65 82 88 104 110 130 143 164 205 220 260 286 328 410 440 451 520 533 572 715 820 902 1066 1144 1430 1640 1804 2132 2255 2665 2860 3608 4264 4510 5330 5720 5863 9020 10660 11726 18040 21320 23452 29315 46904 58630 95737 117260 191474 234520 382948 478685 765896 957370 1053107 1244581 1914740 2106214 2489162 3829480 3925217 4212428 4978324 5265535 6222905 7850434 8424856 9956648 10531070 12445810 13690391 15700868 19626085 21062140 24891620 27380782 31401736 39252170 42124280 43177387 49783240 51027821 54761564 68451955 78504340 86354774 102055642 109523128 136903910 157008680 172709548 204111284 215886935 255139105 273807820 345419096 408222568 431773870 510278210 547615640 561306031 863547740 1020556420 1122612062 1727095480 2041112840 2245224124 2806530155 4490448248 5613060310 11226120620 22452241240