Search a number
230379520 = 212571607
BaseRepresentation
bin11011011101101…
…01000000000000
3121001111111021211
431232311000000
5432434121040
634505455504
75465123260
oct1556650000
9531444254
10230379520
111090525a8
12651a1594
1338962c57
142284d7a0
151535a8ea
hexdbb5000

230379520 has 104 divisors (see below), whose sum is σ = 632214144. Its totient is φ = 78938112.

The previous prime is 230379517. The next prime is 230379547. The reversal of 230379520 is 25973032.

It is a super-3 number, since 3×2303795203 (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142557 + ... + 144163.

Almost surely, 2230379520 is an apocalyptic number.

230379520 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 230379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316107072).

230379520 is an abundant number, since it is smaller than the sum of its proper divisors (401834624).

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

230379520 is an equidigital number, since it uses as much as digits as its factorization.

230379520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 230379520 is about 15178.2581345818. The cubic root of 230379520 is about 613.0293810049.

The spelling of 230379520 in words is "two hundred thirty million, three hundred seventy-nine thousand, five hundred twenty".