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230618240 = 2752315667
BaseRepresentation
bin11011011111011…
…11010010000000
3121001221121202022
431233233102000
5433014240430
634514541012
75500136246
oct1557572200
9531847668
10230618240
111091a5996
1265297768
1338a177c8
14228b2796
15153a64e5
hexdbef480

230618240 has 64 divisors (see below), whose sum is σ = 575328960. Its totient is φ = 88230912.

The previous prime is 230618233. The next prime is 230618251. The reversal of 230618240 is 42816032.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6887 + ... + 22553.

It is an arithmetic number, because the mean of its divisors is an integer number (8989515).

Almost surely, 2230618240 is an apocalyptic number.

230618240 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 230618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287664480).

230618240 is an abundant number, since it is smaller than the sum of its proper divisors (344710720).

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

230618240 is a wasteful number, since it uses less digits than its factorization.

230618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709 (or 15697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 230618240 is about 15186.1199784540. The cubic root of 230618240 is about 613.2410489172.

The spelling of 230618240 in words is "two hundred thirty million, six hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 15667 31334 62668 78335 125336 156670 250672 313340 360341 501344 626680 720682 1002688 1253360 1441364 1801705 2005376 2506720 2882728 3603410 5013440 5765456 7206820 10026880 11530912 14413640 23061824 28827280 46123648 57654560 115309120 230618240