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231432440 = 235231072351
BaseRepresentation
bin11011100101101…
…10000011111000
3121010110222121212
431302312003320
5433221314230
634544222252
75510100101
oct1562660370
9533428555
10231432440
11109701688
126560a988
1338c41295
1422a453a8
15154b7895
hexdcb60f8

231432440 has 64 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 87683200.

The previous prime is 231432433. The next prime is 231432457. The reversal of 231432440 is 44234132.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97265 + ... + 99615.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2231432440 is an apocalyptic number.

231432440 is a gapful number since it is divisible by the number (20) 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 231432440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

231432440 is an abundant number, since it is smaller than the sum of its proper divisors (317242120).

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

231432440 is a wasteful number, since it uses less digits than its factorization.

231432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 231432440 is about 15212.9037333443. The cubic root of 231432440 is about 613.9618858239.

Adding to 231432440 its reverse (44234132), we get a palindrome (275666572).

The spelling of 231432440 in words is "two hundred thirty-one million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 535 856 920 1070 2140 2351 2461 4280 4702 4922 9404 9844 11755 12305 18808 19688 23510 24610 47020 49220 54073 94040 98440 108146 216292 251557 270365 432584 503114 540730 1006228 1081460 1257785 2012456 2162920 2515570 5031140 5785811 10062280 11571622 23143244 28929055 46286488 57858110 115716220 231432440