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230516480 = 285732467
BaseRepresentation
bin11011011110101…
…10011100000000
3121001202110011102
431233112130000
5433003011410
634512433532
75466233465
oct1557263400
9531673142
10230516480
11109136497
12652488a8
13389b03ac
142288766c
15153862a5
hexdbd6700

230516480 has 72 divisors (see below), whose sum is σ = 559949712. Its totient is φ = 90906624.

The previous prime is 230516477. The next prime is 230516491. The reversal of 230516480 is 84615032.

230516480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 92207 + ... + 94673.

Almost surely, 2230516480 is an apocalyptic number.

230516480 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 230516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279974856).

230516480 is an abundant number, since it is smaller than the sum of its proper divisors (329433232).

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

230516480 is an equidigital number, since it uses as much as digits as its factorization.

230516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 230516480 is about 15182.7691808840. The cubic root of 230516480 is about 613.1508383743.

The spelling of 230516480 in words is "two hundred thirty million, five hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1168 1280 1460 2336 2467 2920 4672 4934 5840 9344 9868 11680 12335 18688 19736 23360 24670 39472 46720 49340 78944 93440 98680 157888 180091 197360 315776 360182 394720 631552 720364 789440 900455 1440728 1578880 1800910 2881456 3157760 3601820 5762912 7203640 11525824 14407280 23051648 28814560 46103296 57629120 115258240 230516480