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155822238 = 2331113171187
BaseRepresentation
bin10010100100110…
…10100010011110
3101212012120221000
421102122202132
5304342302423
623243451130
73601316145
oct1122324236
9355176830
10155822238
117aa59610
1244226aa6
132638a010
14169a275c
15da2e843
hex949a89e

155822238 has 128 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 40988160.

The previous prime is 155822237. The next prime is 155822257. The reversal of 155822238 is 832228551.

155822238 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155822237) 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 63 ways as a sum of consecutive naturals, for example, 130681 + ... + 131867.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2155822238 is an apocalyptic number.

155822238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155822238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

155822238 is an abundant number, since it is smaller than the sum of its proper divisors (275279202).

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

155822238 is a wasteful number, since it uses less digits than its factorization.

155822238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 155822238 is about 12482.8777932014. The cubic root of 155822238 is about 538.1167111351.

The spelling of 155822238 in words is "one hundred fifty-five million, eight hundred twenty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 99 102 117 143 153 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 918 1122 1187 1287 1326 1683 1989 2374 2431 2574 3366 3561 3861 3978 4862 5049 5967 7122 7293 7722 10098 10683 11934 13057 14586 15431 20179 21366 21879 26114 30862 32049 39171 40358 43758 46293 60537 64098 65637 78342 92586 117513 121074 131274 138879 169741 181611 221969 235026 262327 277758 339482 352539 363222 416637 443938 509223 524654 544833 665907 705078 786981 833274 1018446 1089666 1331814 1527669 1573962 1997721 2360943 2885597 3055338 3995442 4583007 4721886 5771194 5993163 7082829 8656791 9166014 11986326 14165658 17313582 25970373 51940746 77911119 155822238