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22257137440 = 255877158617
BaseRepresentation
bin10100101110101000…
…001111011100100000
32010110010201201201201
4110232220033130200
5331040311344230
614120315410544
71415360355346
oct245650173440
963403651651
1022257137440
11949163486a
124391a53a54
1321391c3315
141111d97996
158a3ec25ca
hex52ea0f720

22257137440 has 48 divisors (see below), whose sum is σ = 52642776312. Its totient is φ = 8892647424.

The previous prime is 22257137423. The next prime is 22257137447. The reversal of 22257137440 is 4473175222.

It can be written as a sum of positive squares in 4 ways, for example, as 21560810896 + 696326544 = 146836^2 + 26388^2 .

It is a super-3 number, since 3×222571374403 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22257137440.

It is not an unprimeable number, because it can be changed into a prime (22257137447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61012 + ... + 219628.

Almost surely, 222257137440 is an apocalyptic number.

22257137440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22257137440 is an abundant number, since it is smaller than the sum of its proper divisors (30385638872).

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

22257137440 is a wasteful number, since it uses less digits than its factorization.

22257137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159509 (or 159501 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 22257137440 in words is "twenty-two billion, two hundred fifty-seven million, one hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 877 1754 3508 4385 7016 8770 14032 17540 28064 35080 70160 140320 158617 317234 634468 793085 1268936 1586170 2537872 3172340 5075744 6344680 12689360 25378720 139107109 278214218 556428436 695535545 1112856872 1391071090 2225713744 2782142180 4451427488 5564284360 11128568720 22257137440