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232034880 = 26357114373
BaseRepresentation
bin11011101010010…
…01001001000000
3121011121121000110
431311021021000
5433400104010
635005151320
75515156350
oct1565111100
9534547013
10232034880
11109a83270
126585b540
13390c255c
1422b60b60
1515586120
hexdd49240

232034880 has 448 divisors, whose sum is σ = 952731648. Its totient is φ = 46448640.

The previous prime is 232034863. The next prime is 232034899. The reversal of 232034880 is 88430232.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2320348802 = 107680371073228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 3178524 + ... + 3178596.

Almost surely, 2232034880 is an apocalyptic number.

232034880 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 232034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476365824).

232034880 is an abundant number, since it is smaller than the sum of its proper divisors (720696768).

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

232034880 is a wasteful number, since it uses less digits than its factorization.

232034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 232034880 is about 15232.6911607897. The cubic root of 232034880 is about 614.4941573903.

The spelling of 232034880 in words is "two hundred thirty-two million, thirty-four thousand, eight hundred eighty".