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232038144 = 28321361127
BaseRepresentation
bin11011101010010…
…01111100000000
3121011121202111100
431311021330000
5433400210034
635005214400
75515202022
oct1565117400
9534552440
10232038144
11109a85768
1265861400
13390c3ba0
1422b62012
1515587099
hexdd49f00

232038144 has 216 divisors, whose sum is σ = 738063872. Its totient is φ = 69672960.

The previous prime is 232038109. The next prime is 232038173. The reversal of 232038144 is 441830232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827009 + ... + 1827135.

Almost surely, 2232038144 is an apocalyptic number.

232038144 is a gapful number since it is divisible by the number (24) 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 232038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369031936).

232038144 is an abundant number, since it is smaller than the sum of its proper divisors (506025728).

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

232038144 is a wasteful number, since it uses less digits than its factorization.

232038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

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

The square root of 232038144 is about 15232.7982984086. The cubic root of 232038144 is about 614.4970387093.

Adding to 232038144 its reverse (441830232), we get a palindrome (673868376).

The spelling of 232038144 in words is "two hundred thirty-two million, thirty-eight thousand, one hundred forty-four".