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235146252 = 2231113713003
BaseRepresentation
bin11100000010000…
…00110000001100
3121101110200000110
432001000300030
5440144140002
635200000020
75553465405
oct1601006014
9541420013
10235146252
11110808950
1266900010
13399417c3
14233309ac
151599ce6c
hexe040c0c

235146252 has 48 divisors (see below), whose sum is σ = 602969472. Its totient is φ = 70730880.

The previous prime is 235146229. The next prime is 235146269. The reversal of 235146252 is 252641532.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11583 + ... + 24585.

It is an arithmetic number, because the mean of its divisors is an integer number (12561864).

Almost surely, 2235146252 is an apocalyptic number.

235146252 is a gapful number since it is divisible by the number (22) 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 235146252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301484736).

235146252 is an abundant number, since it is smaller than the sum of its proper divisors (367823220).

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

235146252 is a wasteful number, since it uses less digits than its factorization.

235146252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13158 (or 13156 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 235146252 is about 15334.4791890693. The cubic root of 235146252 is about 617.2285700260.

Adding to 235146252 its reverse (252641532), we get a palindrome (487787784).

The spelling of 235146252 in words is "two hundred thirty-five million, one hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 274 411 548 822 1507 1644 3014 4521 6028 9042 13003 18084 26006 39009 52012 78018 143033 156036 286066 429099 572132 858198 1716396 1781411 3562822 5344233 7125644 10688466 19595521 21376932 39191042 58786563 78382084 117573126 235146252