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92230164 = 223713811
BaseRepresentation
bin1010111111101…
…01001000010100
320102112210000000
411133311020110
5142102331124
613052451300
72166641415
oct537651024
9212483000
1092230164
1148074984
1226a79b30
1316153080
14c36b80c
15816c6c9
hex57f5214

92230164 has 96 divisors (see below), whose sum is σ = 261009280. Its totient is φ = 28343520.

The previous prime is 92230163. The next prime is 92230169. The reversal of 92230164 is 46103229.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92230163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113319 + ... + 114129.

Almost surely, 292230164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92230164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130504640).

92230164 is an abundant number, since it is smaller than the sum of its proper divisors (168779116).

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

92230164 is a wasteful number, since it uses less digits than its factorization.

92230164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 92230164 is about 9603.6536797200. The cubic root of 92230164 is about 451.8118947361.

The spelling of 92230164 in words is "ninety-two million, two hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 811 972 1053 1404 1458 1622 2106 2187 2433 2916 3159 3244 4212 4374 4866 6318 7299 8748 9477 9732 10543 12636 14598 18954 21086 21897 28431 29196 31629 37908 42172 43794 56862 63258 65691 87588 94887 113724 126516 131382 189774 197073 262764 284661 379548 394146 569322 591219 788292 853983 1138644 1182438 1707966 1773657 2364876 2561949 3415932 3547314 5123898 7094628 7685847 10247796 15371694 23057541 30743388 46115082 92230164