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230112640 = 2751672153
BaseRepresentation
bin11011011011100…
…11110110000000
3121000222221012101
431231303312000
5432402101030
634500040144
75462632222
oct1555636600
9530887171
10230112640
1110899003a
1265093054
133889b634
14227c0412
15153067ca
hexdb73d80

230112640 has 64 divisors (see below), whose sum is σ = 553664160. Its totient is φ = 91451392.

The previous prime is 230112637. The next prime is 230112671. The reversal of 230112640 is 46211032.

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

It is a congruent number.

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, 105804 + ... + 107956.

Almost surely, 2230112640 is an apocalyptic number.

230112640 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 230112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276832080).

230112640 is an abundant number, since it is smaller than the sum of its proper divisors (323551520).

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

230112640 is a wasteful number, since it uses less digits than its factorization.

230112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230112640 is about 15169.4640643630. The cubic root of 230112640 is about 612.7925710412.

Adding to 230112640 its reverse (46211032), we get a palindrome (276323672).

It can be divided in two parts, 23011 and 2640, that added together give a triangular number (25651 = T226).

The spelling of 230112640 in words is "two hundred thirty million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 167 320 334 640 668 835 1336 1670 2153 2672 3340 4306 5344 6680 8612 10688 10765 13360 17224 21376 21530 26720 34448 43060 53440 68896 86120 106880 137792 172240 275584 344480 359551 688960 719102 1377920 1438204 1797755 2876408 3595510 5752816 7191020 11505632 14382040 23011264 28764080 46022528 57528160 115056320 230112640