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230010032 = 2472053661
BaseRepresentation
bin11011011010110…
…10110010110000
3121000210201110002
431231122302300
5432340310112
634453525132
75462024120
oct1555326260
9530721402
10230010032
1110891aa3a
12650437a8
1338863a15
1422794c80
15152d61c2
hexdb5acb0

230010032 has 20 divisors (see below), whose sum is σ = 509308176. Its totient is φ = 98575680.

The previous prime is 230010023. The next prime is 230010037.

230010032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2300100322 = 105809229641282048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230009995 and 230010022.

It is not an unprimeable number, because it can be changed into a prime (230010037) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026719 + ... + 1026942.

Almost surely, 2230010032 is an apocalyptic number.

It is an amenable number.

230010032 is an abundant number, since it is smaller than the sum of its proper divisors (279298144).

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

230010032 is a wasteful number, since it uses less digits than its factorization.

230010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053676 (or 2053670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 230010032 is about 15166.0816297421. The cubic root of 230010032 is about 612.7014754105.

Multiplying 230010032 by its sum of digits (11), we get a palindrome (2530110352).

The spelling of 230010032 in words is "two hundred thirty million, ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 2053661 4107322 8214644 14375627 16429288 28751254 32858576 57502508 115005016 230010032