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22203153240240 = 2435753232482841
BaseRepresentation
bin1010000110001100100110…
…00011111101000010110000
32220121121012220222020112210
411003012103003331002300
510402234024212141430
6115115553210052120
74451060556413130
oct503062303750260
986547186866483
1022203153240240
117090339195095
1225a715311a040
13c509962134ab
1456a8d18c4ac0
1528784d04b2b0
hex1431930fd0b0

22203153240240 has 160 divisors (see below), whose sum is σ = 78677409609216. Its totient is φ = 5074051000320.

The previous prime is 22203153240211. The next prime is 22203153240259. The reversal of 22203153240240 is 4204235130222.

It is a super-2 number, since 2×222031532402402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22203153240198 and 22203153240207.

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 31 ways as a sum of consecutive naturals, for example, 7701220 + ... + 10184060.

Almost surely, 222203153240240 is an apocalyptic number.

22203153240240 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 22203153240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39338704804608).

22203153240240 is an abundant number, since it is smaller than the sum of its proper divisors (56474256368976).

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

22203153240240 is a wasteful number, since it uses less digits than its factorization.

22203153240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488187 (or 2488181 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22203153240240 its reverse (4204235130222), we get a palindrome (26407388370462).

The spelling of 22203153240240 in words is "twenty-two trillion, two hundred three billion, one hundred fifty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 5323 10646 15969 21292 26615 31938 37261 42584 53230 63876 74522 79845 85168 106460 111783 127752 149044 159690 186305 212920 223566 255504 298088 319380 372610 425840 447132 558915 596176 638760 745220 894264 1117830 1277520 1490440 1788528 2235660 2482841 2980880 4471320 4965682 7448523 8942640 9931364 12414205 14897046 17379887 19862728 24828410 29794092 34759774 37242615 39725456 49656820 52139661 59588184 69519548 74485230 86899435 99313640 104279322 119176368 139039096 148970460 173798870 198627280 208558644 260698305 278078192 297940920 347597740 417117288 521396610 595881840 695195480 834234576 1042793220 1390390960 2085586440 4171172880 13216162643 26432325286 39648487929 52864650572 66080813215 79296975858 92513138501 105729301144 132161626430 158593951716 185026277002 198242439645 211458602288 264323252860 277539415503 317187903432 370052554004 396484879290 462565692505 528646505720 555078831006 634375806864 740105108008 792969758580 925131385010 1057293011440 1110157662012 1387697077515 1480210216016 1585939517160 1850262770020 2220315324024 2775394155030 3171879034320 3700525540040 4440630648048 5550788310060 7401051080080 11101576620120 22203153240240