Search a number
-
+
23172952 = 2311237647
BaseRepresentation
bin101100001100…
…1011101011000
31121121022022111
41120121131120
521413013302
62144402104
7400652425
oct130313530
947538274
1023172952
1112098200
127916334
134a5470a
143112d4c
15207b0d7
hex1619758

23172952 has 48 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 10232640.

The previous prime is 23172949. The next prime is 23172973. The reversal of 23172952 is 25927132.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35493 + ... + 36139.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 223172952 is an apocalyptic number.

23172952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23172952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

23172952 is an abundant number, since it is smaller than the sum of its proper divisors (25951928).

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

23172952 is a wasteful number, since it uses less digits than its factorization.

23172952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 697 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 23172952 is about 4813.8292449982. The cubic root of 23172952 is about 285.0977483524.

The spelling of 23172952 in words is "twenty-three million, one hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 647 814 968 1294 1628 2588 3256 4477 5176 7117 8954 14234 17908 23939 28468 35816 47878 56936 78287 95756 156574 191512 263329 313148 526658 626296 1053316 2106632 2896619 5793238 11586476 23172952