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230633952 = 2535345329
BaseRepresentation
bin11011011111100…
…11000111100000
3121001222102022020
431233303013200
5433020241302
634515141440
75500233123
oct1557630740
9531872266
10230633952
1110920677a
12652a4880
1338a219c3
14228b83ba
15153aaebc
hexdbf31e0

230633952 has 48 divisors (see below), whose sum is σ = 616850640. Its totient is φ = 75425792.

The previous prime is 230633939. The next prime is 230633957. The reversal of 230633952 is 259336032.

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 (230633957) 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, 17577 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (12851055).

Almost surely, 2230633952 is an apocalyptic number.

It is an amenable number.

230633952 is an abundant number, since it is smaller than the sum of its proper divisors (386216688).

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

230633952 is a wasteful number, since it uses less digits than its factorization.

230633952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45395 (or 45387 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 230633952 is about 15186.6372841390. The cubic root of 230633952 is about 613.2549752868.

Adding to 230633952 its reverse (259336032), we get a palindrome (489969984).

The spelling of 230633952 in words is "two hundred thirty million, six hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 45329 90658 135987 181316 271974 362632 543948 725264 1087896 1450528 2175792 2402437 4351584 4804874 7207311 9609748 14414622 19219496 28829244 38438992 57658488 76877984 115316976 230633952