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232071300 = 223252257857
BaseRepresentation
bin11011101010100…
…10000010000100
3121011200102222100
431311102002010
5433402240200
635010032100
75515400466
oct1565220204
9534612870
10232071300
11109aa866a
1265878630
1339105cc6
1422b70136
1515591d00
hexdd52084

232071300 has 54 divisors (see below), whose sum is σ = 727417418. Its totient is φ = 61885440.

The previous prime is 232071299. The next prime is 232071331. The reversal of 232071300 is 3170232.

232071300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 544644 + 231526656 = 738^2 + 15216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

232071300 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128029 + ... + 129828.

Almost surely, 2232071300 is an apocalyptic number.

232071300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232071300 is an abundant number, since it is smaller than the sum of its proper divisors (495346118).

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

232071300 is a wasteful number, since it uses less digits than its factorization.

232071300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257877 (or 257867 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 232071300 is about 15233.8865690933. The cubic root of 232071300 is about 614.5263058707.

The spelling of 232071300 in words is "two hundred thirty-two million, seventy-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 257857 515714 773571 1031428 1289285 1547142 2320713 2578570 3094284 3867855 4641426 5157140 6446425 7735710 9282852 11603565 12892850 15471420 19339275 23207130 25785700 38678550 46414260 58017825 77357100 116035650 232071300