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230132213000 = 23531713537189
BaseRepresentation
bin1101011001010011110…
…0101110010100001000
3211000000022100201000022
43112110330232110020
512232302321304000
6253415444000012
722424614351334
oct3262474562410
9730008321008
10230132213000
11896646a8878
1238726990008
1318916bc6101
14b1d1d047c4
155ebd9b7585
hex3594f2e508

230132213000 has 64 divisors (see below), whose sum is σ = 570186442800. Its totient is φ = 86638003200.

The previous prime is 230132212991. The next prime is 230132213009. The reversal of 230132213000 is 312231032.

It is an interprime number because it is at equal distance from previous prime (230132212991) and next prime (230132213009).

It can be written as a sum of positive squares in 8 ways, for example, as 8722439236 + 221409773764 = 93394^2 + 470542^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 230132213000.

It is not an unprimeable number, because it can be changed into a prime (230132213009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6751595 + ... + 6785594.

Almost surely, 2230132213000 is an apocalyptic number.

230132213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230132213000 is an abundant number, since it is smaller than the sum of its proper divisors (340054229800).

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

230132213000 is a wasteful number, since it uses less digits than its factorization.

230132213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537227 (or 13537213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230132213000 its reverse (312231032), we get a palindrome (230444444032).

The spelling of 230132213000 in words is "two hundred thirty billion, one hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 13537189 27074378 54148756 67685945 108297512 135371890 230132213 270743780 338429725 460264426 541487560 676859450 920528852 1150661065 1353718900 1692148625 1841057704 2301322130 2707437800 3384297250 4602644260 5753305325 6768594500 9205288520 11506610650 13537189000 23013221300 28766526625 46026442600 57533053250 115066106500 230132213000