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138228912 = 24324092347
BaseRepresentation
bin10000011110100…
…11010010110000
3100122002202102100
420033103102300
5240341311122
621414420400
73265632513
oct1017232260
9318082370
10138228912
1171032478
123a361700
132283a173
1414502d7a
15c206aac
hex83d34b0

138228912 has 60 divisors (see below), whose sum is σ = 387960040. Its totient is φ = 45944064.

The previous prime is 138228911. The next prime is 138228943. The reversal of 138228912 is 219822831.

It is a super-2 number, since 2×1382289122 = 38214464225407488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (138228911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57723 + ... + 60069.

Almost surely, 2138228912 is an apocalyptic number.

138228912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138228912 is an abundant number, since it is smaller than the sum of its proper divisors (249731128).

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

138228912 is a wasteful number, since it uses less digits than its factorization.

138228912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2761 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 138228912 is about 11757.0792291283. The cubic root of 138228912 is about 517.0505009488.

The spelling of 138228912 in words is "one hundred thirty-eight million, two hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 818 1227 1636 2347 2454 3272 3681 4694 4908 6544 7041 7362 9388 9816 14082 14724 18776 19632 21123 28164 29448 37552 42246 56328 58896 84492 112656 168984 337968 959923 1919846 2879769 3839692 5759538 7679384 8639307 11519076 15358768 17278614 23038152 34557228 46076304 69114456 138228912