Search a number
-
+
23152032 = 2532194231
BaseRepresentation
bin101100001010…
…0010110100000
31121120020121200
41120110112200
521411331112
62144121200
7400534431
oct130242640
947506550
1023152032
1112083512
127906200
134a48037
143109488
152074cdc
hex16145a0

23152032 has 72 divisors (see below), whose sum is σ = 69320160. Its totient is φ = 7309440.

The previous prime is 23151991. The next prime is 23152033. The reversal of 23152032 is 23025132.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23151996 and 23152014.

It is not an unprimeable number, because it can be changed into a prime (23152033) 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, 3357 + ... + 7587.

It is an arithmetic number, because the mean of its divisors is an integer number (962780).

Almost surely, 223152032 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 23152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34660080).

23152032 is an abundant number, since it is smaller than the sum of its proper divisors (46168128).

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

23152032 is a wasteful number, since it uses less digits than its factorization.

23152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23152032 is about 4811.6558480423. The cubic root of 23152032 is about 285.0119293252.

Adding to 23152032 its reverse (23025132), we get a palindrome (46177164).

The spelling of 23152032 in words is "twenty-three million, one hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4231 5472 8462 12693 16924 25386 33848 38079 50772 67696 76158 80389 101544 135392 152316 160778 203088 241167 304632 321556 406176 482334 609264 643112 723501 964668 1218528 1286224 1447002 1929336 2572448 2894004 3858672 5788008 7717344 11576016 23152032