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235130532 = 2237131971093
BaseRepresentation
bin11100000001111…
…00111010100100
3121101102212110020
432000330322210
5440143134112
635155355140
75553401520
oct1600747244
9541385406
10235130532
111107a805a
12668b2ab0
13399375c0
1423328d80
151599848c
hexe03cea4

235130532 has 96 divisors (see below), whose sum is σ = 679295232. Its totient is φ = 61641216.

The previous prime is 235130527. The next prime is 235130543. The reversal of 235130532 is 235031532.

It is a happy number.

It is an unprimeable number.

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, 214578 + ... + 215670.

It is an arithmetic number, because the mean of its divisors is an integer number (7075992).

Almost surely, 2235130532 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 235130532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339647616).

235130532 is an abundant number, since it is smaller than the sum of its proper divisors (444164700).

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

235130532 is a wasteful number, since it uses less digits than its factorization.

235130532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 235130532 is about 15333.9666101110. The cubic root of 235130532 is about 617.2148153957.

The spelling of 235130532 in words is "two hundred thirty-five million, one hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 197 273 364 394 546 591 788 1092 1093 1182 1379 2186 2364 2561 2758 3279 4137 4372 5122 5516 6558 7651 7683 8274 10244 13116 14209 15302 15366 16548 17927 22953 28418 30604 30732 35854 42627 45906 53781 56836 71708 85254 91812 99463 107562 170508 198926 215124 215321 298389 397852 430642 596778 645963 861284 1193556 1291926 1507247 2583852 2799173 3014494 4521741 5598346 6028988 8397519 9043482 11196692 16795038 18086964 19594211 33590076 39188422 58782633 78376844 117565266 235130532