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230220648 = 233272931559
BaseRepresentation
bin11011011100011…
…10001101101000
3121001012102100200
431232032031220
5432414030043
634502232200
75463562140
oct1556161550
9531172320
10230220648
11108a541a9
1265125660
1338908848
142280b920
15153287d3
hexdb8e368

230220648 has 96 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 65510784.

The previous prime is 230220631. The next prime is 230220659. The reversal of 230220648 is 846022032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146893 + ... + 148451.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2230220648 is an apocalyptic number.

230220648 is a gapful number since it is divisible by the number (28) 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 230220648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

230220648 is an abundant number, since it is smaller than the sum of its proper divisors (485257752).

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

230220648 is a wasteful number, since it uses less digits than its factorization.

230220648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230220648 is about 15173.0236933843. The cubic root of 230220648 is about 612.8884315545. Note that the first 3 decimals are identical.

The spelling of 230220648 in words is "two hundred thirty million, two hundred twenty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 293 504 586 879 1172 1559 1758 2051 2344 2637 3118 3516 4102 4677 5274 6153 6236 7032 8204 9354 10548 10913 12306 12472 14031 16408 18459 18708 21096 21826 24612 28062 32739 36918 37416 43652 49224 56124 65478 73836 87304 98217 112248 130956 147672 196434 261912 392868 456787 785736 913574 1370361 1827148 2740722 3197509 3654296 4111083 5481444 6395018 8222166 9592527 10962888 12790036 16444332 19185054 25580072 28777581 32888664 38370108 57555162 76740216 115110324 230220648