Search a number
-
+
92252190 = 23529107991
BaseRepresentation
bin1010111111110…
…10100000011110
320102120220012210
411133322200132
5142104032230
613053141250
72200062552
oct537724036
9212526183
1092252190
114808a488
1226a8a826
13161600c4
14c375862
158173eb0
hex57fa81e

92252190 has 64 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 23506560.

The previous prime is 92252189. The next prime is 92252197. The reversal of 92252190 is 9125229.

It is a super-2 number, since 2×922521902 = 17020933119592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92252197) 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, 92595 + ... + 93585.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 292252190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92252190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

92252190 is an abundant number, since it is smaller than the sum of its proper divisors (139161570).

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

92252190 is a wasteful number, since it uses less digits than its factorization.

92252190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 92252190 is about 9604.8003623188. The cubic root of 92252190 is about 451.8478584464.

The spelling of 92252190 in words is "ninety-two million, two hundred fifty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 145 174 214 290 321 435 535 642 870 991 1070 1605 1982 2973 3103 3210 4955 5946 6206 9309 9910 14865 15515 18618 28739 29730 31030 46545 57478 86217 93090 106037 143695 172434 212074 287390 318111 431085 530185 636222 862170 1060370 1590555 3075073 3181110 6150146 9225219 15375365 18450438 30750730 46126095 92252190