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23228946 = 23213531873
BaseRepresentation
bin101100010011…
…1001000010010
31121201011010100
41120213020102
521421311241
62145513230
7401304606
oct130471022
947634110
1023228946
1112126284
127942816
134a74050
143129506
15208c9b6
hex1627212

23228946 has 48 divisors (see below), whose sum is σ = 55253016. Its totient is φ = 7008768.

The previous prime is 23228939. The next prime is 23228969. The reversal of 23228946 is 64982232.

It can be written as a sum of positive squares in 4 ways, for example, as 11634921 + 11594025 = 3411^2 + 3405^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23228946.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11466 + ... + 13338.

Almost surely, 223228946 is an apocalyptic number.

23228946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23228946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27626508).

23228946 is an abundant number, since it is smaller than the sum of its proper divisors (32024070).

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

23228946 is a wasteful number, since it uses less digits than its factorization.

23228946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1944 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23228946 is about 4819.6416879266. The cubic root of 23228946 is about 285.3271957779.

The spelling of 23228946 in words is "twenty-three million, two hundred twenty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 1873 2067 3746 4134 5619 6201 11238 12402 16857 24349 33714 48698 73047 99269 146094 198538 219141 297807 438282 595614 893421 1290497 1786842 2580994 3871491 7742982 11614473 23228946