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102214332 = 22331197887
BaseRepresentation
bin1100001011110…
…10101010111100
321010100000201000
412011322222330
5202131324312
614050450300
72350543653
oct605725274
9233300630
10102214332
1152774160
122a293990
131823a66c
14d80a19a
158e90adc
hex617aabc

102214332 has 96 divisors (see below), whose sum is σ = 292400640. Its totient is φ = 30620160.

The previous prime is 102214291. The next prime is 102214349. The reversal of 102214332 is 233412201.

102214332 is a `hidden beast` number, since 10 + 221 + 433 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114793 + ... + 115679.

It is an arithmetic number, because the mean of its divisors is an integer number (3045840).

Almost surely, 2102214332 is an apocalyptic number.

102214332 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 102214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146200320).

102214332 is an abundant number, since it is smaller than the sum of its proper divisors (190186308).

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

102214332 is a wasteful number, since it uses less digits than its factorization.

102214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102214332 is about 10110.1103851541. The cubic root of 102214332 is about 467.5599084388.

Adding to 102214332 its reverse (233412201), we get a palindrome (335626533).

The spelling of 102214332 in words is "one hundred two million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 97 99 108 132 194 198 291 297 388 396 582 594 873 887 1067 1164 1188 1746 1774 2134 2619 2661 3201 3492 3548 4268 5238 5322 6402 7983 9603 9757 10476 10644 12804 15966 19206 19514 23949 28809 29271 31932 38412 39028 47898 57618 58542 86039 87813 95796 115236 117084 172078 175626 258117 263439 344156 351252 516234 526878 774351 946429 1032468 1053756 1548702 1892858 2323053 2839287 3097404 3785716 4646106 5678574 8517861 9292212 11357148 17035722 25553583 34071444 51107166 102214332