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22225892013 = 32132322936067
BaseRepresentation
bin10100101100110001…
…000011001010101101
32010100221221022001200
4110230301003022231
5331004312021023
614113242000113
71414530651663
oct245461031255
963327838050
1022225892013
119475a336a6
1243834a6039
1321328a34c0
14110bb82c33
158a139e743
hex52cc432ad

22225892013 has 48 divisors (see below), whose sum is σ = 36235355520. Its totient is φ = 13025308032.

The previous prime is 22225892011. The next prime is 22225892023. The reversal of 22225892013 is 31029852222.

22225892013 is a `hidden beast` number, since 22 + 22 + 589 + 20 + 13 = 666.

It is not a de Polignac number, because 22225892013 - 21 = 22225892011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22225892011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598206 + ... + 634272.

It is an arithmetic number, because the mean of its divisors is an integer number (754903240).

Almost surely, 222225892013 is an apocalyptic number.

22225892013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22225892013 is a deficient number, since it is larger than the sum of its proper divisors (14009463507).

22225892013 is a wasteful number, since it uses less digits than its factorization.

22225892013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36338 (or 36335 counting only the distinct ones).

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

The spelling of 22225892013 in words is "twenty-two billion, two hundred twenty-five million, eight hundred ninety-two thousand, thirteen".

Divisors: 1 3 9 13 23 39 69 117 207 229 299 687 897 2061 2691 2977 5267 8931 15801 26793 36067 47403 68471 108201 205413 324603 468871 616239 829541 1406613 2488623 4219839 7465869 8259343 10784033 24778029 32352099 74334087 97056297 107371459 189964889 322114377 569894667 966343131 1709684001 2469543557 7408630671 22225892013