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231426960 = 24352941811
BaseRepresentation
bin11011100101101…
…00101110010000
3121010110201002220
431302310232100
5433221130320
634544141040
75510045112
oct1562645620
9533421086
10231426960
111096a8556
1265607780
1338c3b93b
1422a433b2
15154b5e40
hexdcb4b90

231426960 has 160 divisors (see below), whose sum is σ = 761201280. Its totient is φ = 58060800.

The previous prime is 231426959. The next prime is 231427003. The reversal of 231426960 is 69624132.

231426960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284955 + ... + 285765.

It is an arithmetic number, because the mean of its divisors is an integer number (4757508).

Almost surely, 2231426960 is an apocalyptic number.

231426960 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 231426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380600640).

231426960 is an abundant number, since it is smaller than the sum of its proper divisors (529774320).

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

231426960 is a wasteful number, since it uses less digits than its factorization.

231426960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 231426960 is about 15212.7236220211. The cubic root of 231426960 is about 613.9570398630.

The spelling of 231426960 in words is "two hundred thirty-one million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 41 48 58 60 80 82 87 116 120 123 145 164 174 205 232 240 246 290 328 348 410 435 464 492 580 615 656 696 811 820 870 984 1160 1189 1230 1392 1622 1640 1740 1968 2320 2378 2433 2460 3244 3280 3480 3567 4055 4756 4866 4920 5945 6488 6960 7134 8110 9512 9732 9840 11890 12165 12976 14268 16220 17835 19024 19464 23519 23780 24330 28536 32440 33251 35670 38928 47038 47560 48660 57072 64880 66502 70557 71340 94076 95120 97320 99753 117595 133004 141114 142680 166255 188152 194640 199506 235190 266008 282228 285360 332510 352785 376304 399012 470380 498765 532016 564456 665020 705570 798024 940760 964279 997530 1128912 1330040 1411140 1596048 1881520 1928558 1995060 2660080 2822280 2892837 3857116 3990120 4821395 5644560 5785674 7714232 7980240 9642790 11571348 14464185 15428464 19285580 23142696 28928370 38571160 46285392 57856740 77142320 115713480 231426960