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230096640 = 283559921
BaseRepresentation
bin11011011011011…
…11111100000000
3121000222010020210
431231233330000
5432401043030
634455434120
75462534454
oct1555577400
9530863223
10230096640
1110897a014
1265085940
1338894277
14227b8664
1515301bb0
hexdb6ff00

230096640 has 72 divisors (see below), whose sum is σ = 734883408. Its totient is φ = 61358080.

The previous prime is 230096639. The next prime is 230096641. The reversal of 230096640 is 46690032.

It is an interprime number because it is at equal distance from previous prime (230096639) and next prime (230096641).

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

It is a junction number, because it is equal to n+sod(n) for n = 230096598 and 230096607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230096641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26121 + ... + 33800.

It is an arithmetic number, because the mean of its divisors is an integer number (10206714).

Almost surely, 2230096640 is an apocalyptic number.

230096640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230096640 is an abundant number, since it is smaller than the sum of its proper divisors (504786768).

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

230096640 is an equidigital number, since it uses as much as digits as its factorization.

230096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59945 (or 59931 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 230096640 is about 15168.9366799390. The cubic root of 230096640 is about 612.7783679848.

The spelling of 230096640 in words is "two hundred thirty million, ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 59921 119842 179763 239684 299605 359526 479368 599210 719052 898815 958736 1198420 1438104 1797630 1917472 2396840 2876208 3595260 3834944 4793680 5752416 7190520 7669888 9587360 11504832 14381040 15339776 19174720 23009664 28762080 38349440 46019328 57524160 76698880 115048320 230096640