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230242032 = 24326832341
BaseRepresentation
bin11011011100100…
…11011011110000
3121001020111200200
431232103123300
5432420221112
634502515200
75464011366
oct1556233360
9531214620
10230242032
11108a69279
1265135b00
13389154b7
1422815636
151532ecdc
hexdb936f0

230242032 has 60 divisors (see below), whose sum is σ = 645576984. Its totient is φ = 76602240.

The previous prime is 230242007. The next prime is 230242039.

230242032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2302420322 = 106022786598978048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 230241996 and 230242014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230242039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97182 + ... + 99522.

Almost surely, 2230242032 is an apocalyptic number.

It is an amenable number.

230242032 is an abundant number, since it is smaller than the sum of its proper divisors (415334952).

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

230242032 is a wasteful number, since it uses less digits than its factorization.

230242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230242032 is about 15173.7283486953. The cubic root of 230242032 is about 612.9074069745.

The spelling of 230242032 in words is "two hundred thirty million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 683 1366 2049 2341 2732 4098 4682 5464 6147 7023 8196 9364 10928 12294 14046 16392 18728 21069 24588 28092 32784 37456 42138 49176 56184 84276 98352 112368 168552 337104 1598903 3197806 4796709 6395612 9593418 12791224 14390127 19186836 25582448 28780254 38373672 57560508 76747344 115121016 230242032