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232149424 = 24135918917
BaseRepresentation
bin11011101011001…
…01000110110000
3121011211102010211
431311211012300
5433412240144
635011433504
75516144323
oct1565450660
9534742124
10232149424
1110a051331
12658b5894
1339132730
1422b907ba
15155aa034
hexdd651b0

232149424 has 40 divisors (see below), whose sum is σ = 492624720. Its totient is φ = 105324288.

The previous prime is 232149413. The next prime is 232149443. The reversal of 232149424 is 424941232.

232149424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2814 + ... + 21730.

It is an arithmetic number, because the mean of its divisors is an integer number (12315618).

Almost surely, 2232149424 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 232149424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246312360).

232149424 is an abundant number, since it is smaller than the sum of its proper divisors (260475296).

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

232149424 is a wasteful number, since it uses less digits than its factorization.

232149424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18997 (or 18991 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 232149424 is about 15236.4505052850. The cubic root of 232149424 is about 614.5952557536.

The spelling of 232149424 in words is "two hundred thirty-two million, one hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 208 236 472 767 944 1534 3068 6136 12272 18917 37834 75668 151336 245921 302672 491842 983684 1116103 1967368 2232206 3934736 4464412 8928824 14509339 17857648 29018678 58037356 116074712 232149424