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231242880 = 27351110949
BaseRepresentation
bin11011100100001…
…11110010000000
3121010010100121010
431302013302000
5433144233010
634540200520
75505350331
oct1562076200
9533110533
10231242880
11109592220
1265539140
1338ba5c0b
14229d6288
151547b620
hexdc87c80

231242880 has 128 divisors (see below), whose sum is σ = 804168000. Its totient is φ = 56053760.

The previous prime is 231242831. The next prime is 231242917. The reversal of 231242880 is 88242132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15646 + ... + 26594.

Almost surely, 2231242880 is an apocalyptic number.

231242880 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 231242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402084000).

231242880 is an abundant number, since it is smaller than the sum of its proper divisors (572925120).

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

231242880 is a wasteful number, since it uses less digits than its factorization.

231242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10982 (or 10970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 231242880 is about 15206.6722197856. The cubic root of 231242880 is about 613.7942135580.

The spelling of 231242880 in words is "two hundred thirty-one million, two hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 10949 21120 21898 32847 43796 54745 65694 87592 109490 120439 131388 164235 175184 218980 240878 262776 328470 350368 361317 437960 481756 525552 602195 656940 700736 722634 875920 963512 1051104 1204390 1313880 1401472 1445268 1751840 1806585 1927024 2102208 2408780 2627760 2890536 3503680 3613170 3854048 4204416 4817560 5255520 5781072 7007360 7226340 7708096 9635120 10511040 11562144 14452680 15416192 19270240 21022080 23124288 28905360 38540480 46248576 57810720 77080960 115621440 231242880