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138221832 = 23371748397
BaseRepresentation
bin10000011110100…
…01100100001000
3100122002101201010
420033101210020
5240341044312
621414323520
73265603050
oct1017214410
9318071633
10138221832
1171028121
123a3595a0
1322836b88
1414500560
15c20493c
hex83d1908

138221832 has 64 divisors (see below), whose sum is σ = 418158720. Its totient is φ = 37168128.

The previous prime is 138221819. The next prime is 138221857. The reversal of 138221832 is 238122831.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138221832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21343 + ... + 27054.

It is an arithmetic number, because the mean of its divisors is an integer number (6533730).

Almost surely, 2138221832 is an apocalyptic number.

138221832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138221832 is an abundant number, since it is smaller than the sum of its proper divisors (279936888).

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

138221832 is a wasteful number, since it uses less digits than its factorization.

138221832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48430 (or 48426 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 138221832 is about 11756.7781300831. The cubic root of 138221832 is about 517.0416731283.

Subtracting 138221832 from its reverse (238122831), we obtain a palindrome (99900999).

The spelling of 138221832 in words is "one hundred thirty-eight million, two hundred twenty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 48397 96794 145191 193588 290382 338779 387176 580764 677558 822749 1016337 1161528 1355116 1645498 2032674 2468247 2710232 3290996 4065348 4936494 5759243 6581992 8130696 9872988 11518486 17277729 19745976 23036972 34555458 46073944 69110916 138221832