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230996400 = 24352192497
BaseRepresentation
bin11011100010010…
…11100110110000
3121002122211111020
431301023212300
5433113341100
634531015440
75503302615
oct1561134660
9532584436
10230996400
11109434018
126543a580
1338b1a97b
142297050c
151542d5a0
hexdc4b9b0

230996400 has 60 divisors (see below), whose sum is σ = 739962312. Its totient is φ = 61598720.

The previous prime is 230996377. The next prime is 230996401. The reversal of 230996400 is 4699032.

230996400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (230996401) 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, 95049 + ... + 97448.

Almost surely, 2230996400 is an apocalyptic number.

230996400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230996400 is an abundant number, since it is smaller than the sum of its proper divisors (508965912).

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

230996400 is a wasteful number, since it uses less digits than its factorization.

230996400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192518 (or 192507 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 230996400 is about 15198.5657218041. The cubic root of 230996400 is about 613.5760565250.

The spelling of 230996400 in words is "two hundred thirty million, nine hundred ninety-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 192497 384994 577491 769988 962485 1154982 1539976 1924970 2309964 2887455 3079952 3849940 4619928 4812425 5774910 7699880 9239856 9624850 11549820 14437275 15399760 19249700 23099640 28874550 38499400 46199280 57749100 76998800 115498200 230996400