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230753300 = 22529723789
BaseRepresentation
bin11011100000100…
…00010000010100
3121002012111000112
431300100100110
5433033101200
634521502152
75501241101
oct1560202024
9532174015
10230753300
11109288408
1265341958
1338a6411b
1422909aa8
15153d1535
hexdc10414

230753300 has 36 divisors (see below), whose sum is σ = 505918140. Its totient is φ = 91345920.

The previous prime is 230753279. The next prime is 230753321. The reversal of 230753300 is 3357032.

It is an interprime number because it is at equal distance from previous prime (230753279) and next prime (230753321).

It can be written as a sum of positive squares in 6 ways, for example, as 26091664 + 204661636 = 5108^2 + 14306^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2195 + ... + 21594.

Almost surely, 2230753300 is an apocalyptic number.

230753300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230753300 is an abundant number, since it is smaller than the sum of its proper divisors (275164840).

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

230753300 is a wasteful number, since it uses less digits than its factorization.

230753300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23900 (or 23893 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 23.

The square root of 230753300 is about 15190.5661513980. The cubic root of 230753300 is about 613.3607390348.

The spelling of 230753300 in words is "two hundred thirty million, seven hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 23789 47578 95156 118945 237890 475780 594725 1189450 2307533 2378900 4615066 9230132 11537665 23075330 46150660 57688325 115376650 230753300