Search a number
-
+
230053152 = 2537342341
BaseRepresentation
bin11011011011001…
…01010100100000
3121000212220121010
431231211110200
5432343200102
634454500520
75462263620
oct1555452440
9530786533
10230053152
1110894a37a
1265064740
133887a534
14227a6880
15152e3d6c
hexdb65520

230053152 has 48 divisors (see below), whose sum is σ = 690161472. Its totient is φ = 65729280.

The previous prime is 230053123. The next prime is 230053157. The reversal of 230053152 is 251350032.

230053152 is digitally balanced in base 3, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230053157) 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 7 ways as a sum of consecutive naturals, for example, 170499 + ... + 171842.

It is an arithmetic number, because the mean of its divisors is an integer number (14378364).

Almost surely, 2230053152 is an apocalyptic number.

It is an amenable number.

230053152 is an abundant number, since it is smaller than the sum of its proper divisors (460108320).

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

230053152 is a wasteful number, since it uses less digits than its factorization.

230053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342361 (or 342353 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 230053152 is about 15167.5031564196. The cubic root of 230053152 is about 612.7397607505.

The spelling of 230053152 in words is "two hundred thirty million, fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 342341 684682 1027023 1369364 2054046 2396387 2738728 4108092 4792774 5477456 7189161 8216184 9585548 10954912 14378322 16432368 19171096 28756644 32864736 38342192 57513288 76684384 115026576 230053152