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138863322 = 2351331709
BaseRepresentation
bin10000100011011…
…10001011011010
3100200021222200000
420101232023122
5241022111242
621440153430
73304214223
oct1021561332
9320258600
10138863322
1171426084
123a608876
13229ccb60
141462a24a
15c2cea4c
hex846e2da

138863322 has 96 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 41290560.

The previous prime is 138863321. The next prime is 138863359. The reversal of 138863322 is 223368831.

138863322 is a `hidden beast` number, since 13 + 8 + 8 + 633 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (138863321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195504 + ... + 196212.

It is an arithmetic number, because the mean of its divisors is an integer number (3618160).

Almost surely, 2138863322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138863322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

138863322 is an abundant number, since it is smaller than the sum of its proper divisors (208480038).

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

138863322 is a wasteful number, since it uses less digits than its factorization.

138863322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138863322 is about 11784.0282586219. The cubic root of 138863322 is about 517.8403054683.

The spelling of 138863322 in words is "one hundred thirty-eight million, eight hundred sixty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 243 279 351 403 486 558 702 709 806 837 1053 1209 1418 1674 2106 2127 2418 2511 3159 3627 4254 5022 6318 6381 7254 7533 9217 10881 12762 15066 18434 19143 21762 21979 27651 32643 38286 43958 55302 57429 65286 65937 82953 97929 114858 131874 165906 172287 195858 197811 248859 285727 344574 395622 497718 571454 593433 746577 857181 1186866 1493154 1714362 1780299 2239731 2571543 3560598 4479462 5143086 5340897 7714629 10681794 15429258 23143887 46287774 69431661 138863322