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230276520 = 2336553149
BaseRepresentation
bin11011011100110…
…11110110101000
3121001022021000000
431232123312220
5432422322040
634503343000
75464214055
oct1556336650
9531267000
10230276520
11108a92181
1265151a60
13389280c6
142282402c
151533a130
hexdb9bda8

230276520 has 224 divisors, whose sum is σ = 796797000. Its totient is φ = 59844096.

The previous prime is 230276507. The next prime is 230276531. The reversal of 230276520 is 25672032.

230276520 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 7 + 652 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163788804 + 66487716 = 12798^2 + 8154^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1545406 + ... + 1545554.

Almost surely, 2230276520 is an apocalyptic number.

230276520 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 230276520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398398500).

230276520 is an abundant number, since it is smaller than the sum of its proper divisors (566520480).

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

230276520 is a wasteful number, since it uses less digits than its factorization.

230276520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230276520 is about 15174.8647440430. The cubic root of 230276520 is about 612.9380079543.

The spelling of 230276520 in words is "two hundred thirty million, two hundred seventy-six thousand, five hundred twenty".