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232005820 = 22511600291
BaseRepresentation
bin11011101010000…
…10000010111100
3121011120010011011
431311002002330
5433343141240
635004405004
75515005544
oct1565020274
9534503134
10232005820
11109a63452
1265846764
13390b2267
1422b54324
151557c6ea
hexdd420bc

232005820 has 12 divisors (see below), whose sum is σ = 487212264. Its totient is φ = 92802320.

The previous prime is 232005811. The next prime is 232005841. The reversal of 232005820 is 28500232.

It is a junction number, because it is equal to n+sod(n) for n = 232005791 and 232005800.

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, 5800126 + ... + 5800165.

It is an arithmetic number, because the mean of its divisors is an integer number (40601022).

Almost surely, 2232005820 is an apocalyptic number.

232005820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232005820 is an abundant number, since it is smaller than the sum of its proper divisors (255206444).

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

232005820 is a wasteful number, since it uses less digits than its factorization.

232005820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600300 (or 11600298 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 232005820 is about 15231.7372613895. The cubic root of 232005820 is about 614.4685032792.

The spelling of 232005820 in words is "two hundred thirty-two million, five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 11600291 23200582 46401164 58001455 116002910 232005820