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232105040 = 2452901313
BaseRepresentation
bin11011101010110…
…10010001010000
3121011202011020222
431311122101100
5433404330130
635010452212
75515601036
oct1565322120
9534664228
10232105040
1110a020a52
1265894068
133911847b
1422b7c556
151559bce5
hexdd5a450

232105040 has 20 divisors (see below), whose sum is σ = 539644404. Its totient is φ = 92841984.

The previous prime is 232105037. The next prime is 232105057. The reversal of 232105040 is 40501232.

It can be written as a sum of positive squares in 2 ways, for example, as 63936016 + 168169024 = 7996^2 + 12968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1450577 + ... + 1450736.

Almost surely, 2232105040 is an apocalyptic number.

232105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232105040 is an abundant number, since it is smaller than the sum of its proper divisors (307539364).

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

232105040 is a wasteful number, since it uses less digits than its factorization.

232105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901326 (or 2901320 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 232105040 is about 15234.9939284530. The cubic root of 232105040 is about 614.5560856738.

Adding to 232105040 its reverse (40501232), we get a palindrome (272606272).

The spelling of 232105040 in words is "two hundred thirty-two million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2901313 5802626 11605252 14506565 23210504 29013130 46421008 58026260 116052520 232105040