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231120372 = 223717295581
BaseRepresentation
bin11011100011010…
…01110111110100
3121002220010112210
431301221313310
5433131322442
634533413420
75504330220
oct1561516764
9532803483
10231120372
1110950917a
126549a270
1338b62222
14229a3780
151545519c
hexdc69df4

231120372 has 96 divisors (see below), whose sum is σ = 675198720. Its totient is φ = 59996160.

The previous prime is 231120341. The next prime is 231120377. The reversal of 231120372 is 273021132.

231120372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231120377) 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 31 ways as a sum of consecutive naturals, for example, 38622 + ... + 44202.

It is an arithmetic number, because the mean of its divisors is an integer number (7033320).

Almost surely, 2231120372 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 231120372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337599360).

231120372 is an abundant number, since it is smaller than the sum of its proper divisors (444078348).

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

231120372 is a wasteful number, since it uses less digits than its factorization.

231120372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 231120372 is about 15202.6435859031. The cubic root of 231120372 is about 613.6858023148.

The spelling of 231120372 in words is "two hundred thirty-one million, one hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5581 5916 6902 10353 11162 13804 16743 20706 22324 33486 39067 41412 66972 78134 94877 117201 156268 161849 189754 234402 284631 323698 379508 468804 485547 569262 647396 664139 971094 1132943 1138524 1328278 1942188 1992417 2265886 2656556 2751433 3398829 3984834 4531772 5502866 6797658 7969668 8254299 11005732 13595316 16508598 19260031 33017196 38520062 57780093 77040124 115560186 231120372