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22873235121 = 3211245832
BaseRepresentation
bin10101010011010110…
…011101111010110001
32012001002000201212100
4111103112131322301
5333321022010441
614301404451013
71436551201452
oct252326357261
965032021770
1022873235121
119778388100
124524249a69
132206a37069
14116db31129
158dd11ecb6
hex55359deb1

22873235121 has 27 divisors (see below), whose sum is σ = 36323649817. Its totient is φ = 13859541960.

The previous prime is 22873235107. The next prime is 22873235131. The reversal of 22873235121 is 12153237822.

The square root of 22873235121 is 151239.

It is a perfect power (a square), and thus also a powerful number.

22873235121 is a `hidden beast` number, since 2 + 287 + 3 + 2 + 351 + 21 = 666.

It is not a de Polignac number, because 22873235121 - 217 = 22873104049 is a prime.

It is a super-3 number, since 3×228732351213 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22873235131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4988596 + ... + 4993178.

Almost surely, 222873235121 is an apocalyptic number.

22873235121 is the 151239-th square number.

22873235121 is the 75620-th centered octagonal number.

It is an amenable number.

22873235121 is a deficient number, since it is larger than the sum of its proper divisors (13450414696).

22873235121 is an frugal number, since it uses more digits than its factorization.

22873235121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9194 (or 4597 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Multiplying 22873235121 by its sum of digits (36), we get a square (823436464356 = 9074342).

The spelling of 22873235121 in words is "twenty-two billion, eight hundred seventy-three million, two hundred thirty-five thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 4583 13749 41247 50413 151239 453717 554543 1663629 4990887 21003889 63011667 189035001 231042779 693128337 2079385011 2541470569 7624411707 22873235121