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230719968 = 2533267037
BaseRepresentation
bin11011100000010…
…00000111100000
3121002010210022000
431300020013200
5433031014333
634521044000
75501041653
oct1560100740
9532123260
10230719968
11109265366
1265326600
1338a51bbb
14228db89a
15153c6713
hexdc081e0

230719968 has 48 divisors (see below), whose sum is σ = 672935760. Its totient is φ = 76906368.

The previous prime is 230719963. The next prime is 230719987. The reversal of 230719968 is 869917032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230719961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132655 + ... + 134382.

It is an arithmetic number, because the mean of its divisors is an integer number (14019495).

Almost surely, 2230719968 is an apocalyptic number.

It is an amenable number.

230719968 is an abundant number, since it is smaller than the sum of its proper divisors (442215792).

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

230719968 is a wasteful number, since it uses less digits than its factorization.

230719968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267056 (or 267042 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 230719968 is about 15189.4689834767. The cubic root of 230719968 is about 613.3312045715.

The spelling of 230719968 in words is "two hundred thirty million, seven hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 267037 534074 801111 1068148 1602222 2136296 2403333 3204444 4272592 4806666 6408888 7209999 8545184 9613332 12817776 14419998 19226664 25635552 28839996 38453328 57679992 76906656 115359984 230719968