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230956420 = 22515773553
BaseRepresentation
bin11011100010000…
…01110110000100
3121002120210122111
431301001312010
5433111101140
634530110404
75503045222
oct1561016604
9532523574
10230956420
11109406a82
126541b404
1338b05706
142295db12
15154217ea
hexdc41d84

230956420 has 24 divisors (see below), whose sum is σ = 488104344. Its totient is φ = 91792896.

The previous prime is 230956399. The next prime is 230956447. The reversal of 230956420 is 24659032.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 223382916 = 2752^2 + 14946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33637 + ... + 39916.

It is an arithmetic number, because the mean of its divisors is an integer number (20337681).

Almost surely, 2230956420 is an apocalyptic number.

230956420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230956420 is an abundant number, since it is smaller than the sum of its proper divisors (257147924).

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

230956420 is a wasteful number, since it uses less digits than its factorization.

230956420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73719 (or 73717 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 230956420 is about 15197.2504092023. The cubic root of 230956420 is about 613.5406559933.

The spelling of 230956420 in words is "two hundred thirty million, nine hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 73553 147106 294212 367765 735530 1471060 11547821 23095642 46191284 57739105 115478210 230956420