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231430464 = 2632715659
BaseRepresentation
bin11011100101101…
…01100101000000
3121010110212220200
431302311211000
5433221233324
634544205200
75510061246
oct1562654500
9533425820
10231430464
11109700151
1265609800
1338c40405
1422a44796
15154b6ec9
hexdcb5940

231430464 has 84 divisors (see below), whose sum is σ = 672815520. Its totient is φ = 76043520.

The previous prime is 231430447. The next prime is 231430471. The reversal of 231430464 is 464034132.

231430464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38067 + ... + 43725.

Almost surely, 2231430464 is an apocalyptic number.

231430464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336407760).

231430464 is an abundant number, since it is smaller than the sum of its proper divisors (441385056).

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

231430464 is a wasteful number, since it uses less digits than its factorization.

231430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 231430464 is about 15212.8387883393. The cubic root of 231430464 is about 613.9601384570.

Adding to 231430464 its reverse (464034132), we get a palindrome (695464596).

The spelling of 231430464 in words is "two hundred thirty-one million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 2272 2556 3408 4544 5112 5659 6816 10224 11318 13632 16977 20448 22636 33954 40896 45272 50931 67908 90544 101862 135816 181088 203724 271632 362176 401789 407448 543264 803578 814896 1086528 1205367 1607156 1629792 2410734 3214312 3259584 3616101 4821468 6428624 7232202 9642936 12857248 14464404 19285872 25714496 28928808 38571744 57857616 77143488 115715232 231430464