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231212232 = 2334509701
BaseRepresentation
bin11011100100000…
…00010011001000
3121010001210120000
431302000103020
5433142242412
634535403000
75505162066
oct1562002310
9533053500
10231212232
11109571199
1265523460
1338b94c94
14229c9036
15154724dc
hexdc804c8

231212232 has 80 divisors (see below), whose sum is σ = 649806300. Its totient is φ = 76809600.

The previous prime is 231212231. The next prime is 231212269. The reversal of 231212232 is 232212132.

It can be written as a sum of positive squares in 2 ways, for example, as 200675556 + 30536676 = 14166^2 + 5526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (231212231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 329482 + ... + 330182.

Almost surely, 2231212232 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 231212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324903150).

231212232 is an abundant number, since it is smaller than the sum of its proper divisors (418594068).

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

231212232 is a wasteful number, since it uses less digits than its factorization.

231212232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1215 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 231212232 is about 15205.6644708477. The cubic root of 231212232 is about 613.7670957556.

Adding to 231212232 its reverse (232212132), we get a palindrome (463424364).

The spelling of 231212232 in words is "two hundred thirty-one million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 509 648 701 1018 1402 1527 2036 2103 2804 3054 4072 4206 4581 5608 6108 6309 8412 9162 12216 12618 13743 16824 18324 18927 25236 27486 36648 37854 41229 50472 54972 56781 75708 82458 109944 113562 151416 164916 227124 329832 356809 454248 713618 1070427 1427236 2140854 2854472 3211281 4281708 6422562 8563416 9633843 12845124 19267686 25690248 28901529 38535372 57803058 77070744 115606116 231212232