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233190920 = 2355829773
BaseRepresentation
bin11011110011000…
…11011000001000
3121020210022210202
431321203120020
5434144102140
635050031332
75531042624
oct1571433010
9536708722
10233190920
1110a6a2876
1266118548
13394087c1
1422d82184
1515713915
hexde63608

233190920 has 16 divisors (see below), whose sum is σ = 524679660. Its totient is φ = 93276352.

The previous prime is 233190917. The next prime is 233190949. The reversal of 233190920 is 29091332.

It can be written as a sum of positive squares in 2 ways, for example, as 232318564 + 872356 = 15242^2 + 934^2 .

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, 2914847 + ... + 2914926.

Almost surely, 2233190920 is an apocalyptic number.

233190920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233190920 is an abundant number, since it is smaller than the sum of its proper divisors (291488740).

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

233190920 is a wasteful number, since it uses less digits than its factorization.

233190920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829784 (or 5829780 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 233190920 is about 15270.5900344420. The cubic root of 233190920 is about 615.5129745226.

The spelling of 233190920 in words is "two hundred thirty-three million, one hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5829773 11659546 23319092 29148865 46638184 58297730 116595460 233190920