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230393988 = 2232111513853
BaseRepresentation
bin11011011101110…
…00100010000100
3121001112020010200
431232320202010
5432440101423
634510050500
75465213406
oct1556704204
9531466120
10230393988
11109062460
12651a9a30
1338969706
1422854b76
151535ed43
hexdbb8884

230393988 has 72 divisors (see below), whose sum is σ = 639702336. Its totient is φ = 69336000.

The previous prime is 230393987. The next prime is 230394007. The reversal of 230393988 is 889393032.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230393987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57870 + ... + 61722.

Almost surely, 2230393988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230393988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319851168).

230393988 is an abundant number, since it is smaller than the sum of its proper divisors (409308348).

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

230393988 is a wasteful number, since it uses less digits than its factorization.

230393988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 230393988 is about 15178.7347298778. The cubic root of 230393988 is about 613.0422136320.

The spelling of 230393988 in words is "two hundred thirty million, three hundred ninety-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 453 604 906 1359 1661 1812 2718 3322 3853 4983 5436 6644 7706 9966 11559 14949 15412 19932 23118 29898 34677 42383 46236 59796 69354 84766 127149 138708 169532 254298 381447 508596 581803 762894 1163606 1525788 1745409 2327212 3490818 5236227 6399833 6981636 10472454 12799666 19199499 20944908 25599332 38398998 57598497 76797996 115196994 230393988