Search a number
-
+
23172132 = 22323591423
BaseRepresentation
bin101100001100…
…1010000100100
31121121021012010
41120121100210
521413002012
62144354220
7400650144
oct130312044
947537163
1023172132
1112097625
127915970
134a54229
143112924
15207ac3c
hex1619424

23172132 has 48 divisors (see below), whose sum is σ = 57415680. Its totient is φ = 7257888.

The previous prime is 23172113. The next prime is 23172133. The reversal of 23172132 is 23127132.

It is a junction number, because it is equal to n+sod(n) for n = 23172099 and 23172108.

It is not an unprimeable number, because it can be changed into a prime (23172133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15573 + ... + 16995.

It is an arithmetic number, because the mean of its divisors is an integer number (1196160).

It is a self-describing number.

Almost surely, 223172132 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 23172132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28707840).

23172132 is an abundant number, since it is smaller than the sum of its proper divisors (34243548).

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

23172132 is a wasteful number, since it uses less digits than its factorization.

23172132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1510 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 23172132 is about 4813.7440729644. The cubic root of 23172132 is about 285.0943854818.

Adding to 23172132 its reverse (23127132), we get a palindrome (46299264).

The spelling of 23172132 in words is "twenty-three million, one hundred seventy-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 118 138 177 236 276 354 708 1357 1423 2714 2846 4071 4269 5428 5692 8142 8538 16284 17076 32729 65458 83957 98187 130916 167914 196374 251871 335828 392748 503742 1007484 1931011 3862022 5793033 7724044 11586066 23172132