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231451164 = 223271735309
BaseRepresentation
bin11011100101110…
…10101000011100
3121010111221022100
431302322220130
5433222414124
634544445100
75510205510
oct1562725034
9533457270
10231451164
1110971475a
1265619790
1338c49969
1422a4c140
15154bd1c9
hexdcbaa1c

231451164 has 72 divisors (see below), whose sum is σ = 672628320. Its totient is φ = 65734272.

The previous prime is 231451153. The next prime is 231451189. The reversal of 231451164 is 461154132.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40942 + ... + 46250.

It is an arithmetic number, because the mean of its divisors is an integer number (9342060).

Almost surely, 2231451164 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 231451164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336314160).

231451164 is an abundant number, since it is smaller than the sum of its proper divisors (441177156).

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

231451164 is a wasteful number, since it uses less digits than its factorization.

231451164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5494 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 231451164 is about 15213.5191195200. The cubic root of 231451164 is about 613.9784428694.

The spelling of 231451164 in words is "two hundred thirty-one million, four hundred fifty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 3114 3633 4844 5309 6228 7266 10618 10899 14532 15927 21236 21798 31854 37163 43596 47781 63708 74326 95562 111489 148652 191124 222978 334467 445956 668934 918457 1337868 1836914 2755371 3673828 5510742 6429199 8266113 11021484 12858398 16532226 19287597 25716796 33064452 38575194 57862791 77150388 115725582 231451164