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102232152 = 233311172531
BaseRepresentation
bin1100001011111…
…11000001011000
321010100221011000
412011333001120
5202132412102
614051105000
72350646631
oct605770130
9233327130
10102232152
1152786590
122a2a2160
13182457c9
14d812888
158e9601c
hex617f058

102232152 has 128 divisors (see below), whose sum is σ = 328147200. Its totient is φ = 29145600.

The previous prime is 102232127. The next prime is 102232153. The reversal of 102232152 is 251232201.

It is a super-2 number, since 2×1022321522 = 20902825805102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102232153) 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 31 ways as a sum of consecutive naturals, for example, 39127 + ... + 41657.

It is an arithmetic number, because the mean of its divisors is an integer number (2563650).

Almost surely, 2102232152 is an apocalyptic number.

102232152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164073600).

102232152 is an abundant number, since it is smaller than the sum of its proper divisors (225915048).

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

102232152 is a wasteful number, since it uses less digits than its factorization.

102232152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102232152 is about 10110.9916427619. The cubic root of 102232152 is about 467.5870782536.

Adding to 102232152 its reverse (251232201), we get a palindrome (353464353).

The spelling of 102232152 in words is "one hundred two million, two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 2531 3366 3672 4488 5049 5062 6732 7593 10098 10124 13464 15186 20196 20248 22779 27841 30372 40392 43027 45558 55682 60744 68337 83523 86054 91116 111364 129081 136674 167046 172108 182232 222728 250569 258162 273348 334092 344216 387243 473297 501138 516324 546696 668184 751707 774486 946594 1002276 1032648 1161729 1419891 1503414 1548972 1893188 2004552 2323458 2839782 3006828 3097944 3786376 4259673 4646916 5679564 6013656 8519346 9293832 11359128 12779019 17038692 25558038 34077384 51116076 102232152