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231164560 = 245114143149
BaseRepresentation
bin11011100011101…
…00101010010000
3121002222101011101
431301310222100
5433134231220
634534354144
75504603104
oct1561645220
9532871141
10231164560
111095393a0
12654bb954
1338b79383
14229b5904
151546330a
hexdc74a90

231164560 has 160 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 79564800.

The previous prime is 231164509. The next prime is 231164579. The reversal of 231164560 is 65461132.

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 31 ways as a sum of consecutive naturals, for example, 1551366 + ... + 1551514.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2231164560 is an apocalyptic number.

231164560 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 231164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

231164560 is an abundant number, since it is smaller than the sum of its proper divisors (387545840).

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

231164560 is a wasteful number, since it uses less digits than its factorization.

231164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 231164560 is about 15204.0968163189. The cubic root of 231164560 is about 613.7249101038.

The spelling of 231164560 in words is "two hundred thirty-one million, one hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 43 44 55 80 82 86 88 110 149 164 172 176 205 215 220 298 328 344 410 430 440 451 473 596 656 688 745 820 860 880 902 946 1192 1490 1639 1640 1720 1763 1804 1892 2255 2365 2384 2980 3278 3280 3440 3526 3608 3784 4510 4730 5960 6109 6407 6556 7052 7216 7568 8195 8815 9020 9460 11920 12218 12814 13112 14104 16390 17630 18040 18920 19393 24436 25628 26224 28208 30545 32035 32780 35260 36080 37840 38786 48872 51256 61090 64070 65560 67199 70477 70520 77572 96965 97744 102512 122180 128140 131120 134398 140954 141040 155144 193930 244360 256280 262687 268796 281908 310288 335995 352385 387860 488720 512560 525374 537592 563816 671990 704770 775720 1050748 1075184 1127632 1313435 1343980 1409540 1551440 2101496 2626870 2687960 2819080 2889557 4202992 5253740 5375920 5638160 5779114 10507480 11558228 14447785 21014960 23116456 28895570 46232912 57791140 115582280 231164560