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230616720 = 2435511863
BaseRepresentation
bin11011011111011…
…10111010010000
3121001221112200000
431233232322100
5433014213340
634514530000
75500131645
oct1557567220
9531845600
10230616720
111091a4834
1265296900
1338a16bc9
14228b1dcc
15153a5d30
hexdbeee90

230616720 has 120 divisors (see below), whose sum is σ = 803240256. Its totient is φ = 61492608.

The previous prime is 230616703. The next prime is 230616731. The reversal of 230616720 is 27616032.

It is a happy number.

230616720 is a `hidden beast` number, since 23 + 0 + 616 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13509 + ... + 25371.

Almost surely, 2230616720 is an apocalyptic number.

230616720 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 230616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401620128).

230616720 is an abundant number, since it is smaller than the sum of its proper divisors (572623536).

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

230616720 is a wasteful number, since it uses less digits than its factorization.

230616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230616720 is about 15186.0699326718. The cubic root of 230616720 is about 613.2397016279.

The spelling of 230616720 in words is "two hundred thirty million, six hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 11863 19440 23726 35589 47452 59315 71178 94904 106767 118630 142356 177945 189808 213534 237260 284712 320301 355890 427068 474520 533835 569424 640602 711780 854136 949040 960903 1067670 1281204 1423560 1601505 1708272 1921806 2135340 2562408 2847120 2882709 3203010 3843612 4270680 4804515 5124816 5765418 6406020 7687224 8541360 9609030 11530836 12812040 14413545 15374448 19218060 23061672 25624080 28827090 38436120 46123344 57654180 76872240 115308360 230616720