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232340033232 = 243619919413
BaseRepresentation
bin1101100001100010001…
…0111000111011010000
3211012201011202121000000
43120120202320323100
512301313022030412
6254422513130000
722533413461116
oct3303042707320
9735634677000
10232340033232
118a59798989a
1239042259900
1318ba9435108
14b361219ab6
15609c72b4dc
hex36188b8ed0

232340033232 has 70 divisors (see below), whose sum is σ = 674929504562. Its totient is φ = 77446673856.

The previous prime is 232340033231. The next prime is 232340033291. The reversal of 232340033232 is 232330043232.

232340033232 is a `hidden beast` number, since 2 + 3 + 23 + 400 + 3 + 3 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227666396736 + 4673636496 = 477144^2 + 68364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232340033196 and 232340033205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232340033231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9948043 + ... + 9971370.

Almost surely, 2232340033232 is an apocalyptic number.

It is an amenable number.

232340033232 is an abundant number, since it is smaller than the sum of its proper divisors (442589471330).

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

232340033232 is an equidigital number, since it uses as much as digits as its factorization.

232340033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19919439 (or 19919418 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 232340033232 its reverse (232330043232), we get a palindrome (464670076464).

The spelling of 232340033232 in words is "two hundred thirty-two billion, three hundred forty million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 19919413 39838826 59758239 79677652 119516478 159355304 179274717 239032956 318710608 358549434 478065912 537824151 717098868 956131824 1075648302 1434197736 1613472453 2151296604 2868395472 3226944906 4302593208 4840417359 6453889812 8605186416 9680834718 12907779624 14521252077 19361669436 25815559248 29042504154 38723338872 58085008308 77446677744 116170016616 232340033232