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231433332 = 223132139821
BaseRepresentation
bin11011100101101…
…10010001110100
3121010111000211220
431302312101310
5433221331312
634544230340
75510102514
oct1562662164
9533430756
10231433332
11109702319
126560b3b0
1338c41800
1422a45844
15154b7c8c
hexdcb6474

231433332 has 72 divisors (see below), whose sum is σ = 589669920. Its totient is φ = 70611840.

The previous prime is 231433331. The next prime is 231433333. The reversal of 231433332 is 233334132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231433331) and next prime (231433333).

It is a super-2 number, since 2×2314333322 = 107122774321244448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231433331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281482 + ... + 282302.

It is an arithmetic number, because the mean of its divisors is an integer number (8189860).

Almost surely, 2231433332 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 231433332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294834960).

231433332 is an abundant number, since it is smaller than the sum of its proper divisors (358236588).

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

231433332 is a wasteful number, since it uses less digits than its factorization.

231433332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its digits is 3888, while the sum is 24.

The square root of 231433332 is about 15212.9330505330. The cubic root of 231433332 is about 613.9626746118.

Adding to 231433332 its reverse (233334132), we get a palindrome (464767464).

The spelling of 231433332 in words is "two hundred thirty-one million, four hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 169 278 338 417 507 556 676 821 834 1014 1642 1668 1807 2028 2463 3284 3614 4926 5421 7228 9852 10673 10842 21346 21684 23491 32019 42692 46982 64038 70473 93964 114119 128076 138749 140946 228238 277498 281892 342357 416247 456476 554996 684714 832494 1369428 1483547 1664988 2967094 4450641 5934188 8901282 17802564 19286111 38572222 57858333 77144444 115716666 231433332