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232442016 = 2537930649
BaseRepresentation
bin11011101101011…
…00100010100000
3121012101021111120
431312230202200
5434001121031
635022012240
75521503342
oct1566544240
9535337446
10232442016
1110a231144
1265a17080
1339205971
1422c29292
1515616a96
hexddac8a0

232442016 has 48 divisors (see below), whose sum is σ = 617904000. Its totient is φ = 76497408.

The previous prime is 232442011. The next prime is 232442033. The reversal of 232442016 is 610244232.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (232442011) 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, 7741 + ... + 22908.

It is an arithmetic number, because the mean of its divisors is an integer number (12873000).

Almost surely, 2232442016 is an apocalyptic number.

It is an amenable number.

232442016 is an abundant number, since it is smaller than the sum of its proper divisors (385461984).

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

232442016 is a wasteful number, since it uses less digits than its factorization.

232442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30741 (or 30733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 232442016 is about 15246.0491931516. The cubic root of 232442016 is about 614.8533512458.

Adding to 232442016 its reverse (610244232), we get a palindrome (842686248).

The spelling of 232442016 in words is "two hundred thirty-two million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 30649 61298 91947 122596 183894 245192 367788 490384 735576 980768 1471152 2421271 2942304 4842542 7263813 9685084 14527626 19370168 29055252 38740336 58110504 77480672 116221008 232442016