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232106500 = 2253464213
BaseRepresentation
bin11011101010110…
…10101000000100
3121011202020021001
431311122220010
5433404402000
635010503044
75515605223
oct1565325004
9534666231
10232106500
1110a02205a
1265894a84
1339119032
1422b7ccba
151559c46a
hexdd5aa04

232106500 has 24 divisors (see below), whose sum is σ = 506921688. Its totient is φ = 92842400.

The previous prime is 232106473. The next prime is 232106519. The reversal of 232106500 is 5601232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 189282564 = 6544^2 + 13758^2 .

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 7 ways as a sum of consecutive naturals, for example, 231607 + ... + 232606.

It is an arithmetic number, because the mean of its divisors is an integer number (21121737).

Almost surely, 2232106500 is an apocalyptic number.

232106500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232106500 is an abundant number, since it is smaller than the sum of its proper divisors (274815188).

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

232106500 is a wasteful number, since it uses less digits than its factorization.

232106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464232 (or 464220 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 232106500 is about 15235.0418443797. The cubic root of 232106500 is about 614.5573742427.

Adding to 232106500 its reverse (5601232), we get a palindrome (237707732).

The spelling of 232106500 in words is "two hundred thirty-two million, one hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 464213 928426 1856852 2321065 4642130 9284260 11605325 23210650 46421300 58026625 116053250 232106500