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138253212 = 22324438669
BaseRepresentation
bin10000011110110…
…01001110011100
3100122010222202100
420033121032130
5240343100322
621415125100
73266063406
oct1017311634
9318128670
10138253212
1171049759
123a373790
1322848246
141450bb76
15c20ddac
hex83d939c

138253212 has 36 divisors (see below), whose sum is σ = 350302680. Its totient is φ = 45975072.

The previous prime is 138253187. The next prime is 138253229. The reversal of 138253212 is 212352831.

138253212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1382532122 = 38227901256633888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11614 + ... + 20282.

It is an arithmetic number, because the mean of its divisors is an integer number (9730630).

Almost surely, 2138253212 is an apocalyptic number.

138253212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138253212 is an abundant number, since it is smaller than the sum of its proper divisors (212049468).

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

138253212 is a wasteful number, since it uses less digits than its factorization.

138253212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9117 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 138253212 is about 11758.1126036452. The cubic root of 138253212 is about 517.0807975315.

The spelling of 138253212 in words is "one hundred thirty-eight million, two hundred fifty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 443 886 1329 1772 2658 3987 5316 7974 8669 15948 17338 26007 34676 52014 78021 104028 156042 312084 3840367 7680734 11521101 15361468 23042202 34563303 46084404 69126606 138253212