Search a number
-
+
23282208 = 253326947
BaseRepresentation
bin101100011010…
…0001000100000
31121210212012000
41120310020200
521430012313
62151004000
7401616105
oct130641040
947725160
1023282208
11121622a4
127969600
134a92371
143140aac
15209d673
hex1634220

23282208 has 48 divisors (see below), whose sum is σ = 67908960. Its totient is φ = 7760448.

The previous prime is 23282179. The next prime is 23282243. The reversal of 23282208 is 80228232.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×232822082 = 1084122418710528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12610 + ... + 14337.

It is an arithmetic number, because the mean of its divisors is an integer number (1414770).

Almost surely, 223282208 is an apocalyptic number.

It is an amenable number.

23282208 is an abundant number, since it is smaller than the sum of its proper divisors (44626752).

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

23282208 is a wasteful number, since it uses less digits than its factorization.

23282208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26966 (or 26952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23282208 is about 4825.1640386623. The cubic root of 23282208 is about 285.5451063201.

The spelling of 23282208 in words is "twenty-three million, two hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 26947 53894 80841 107788 161682 215576 242523 323364 431152 485046 646728 727569 862304 970092 1293456 1455138 1940184 2586912 2910276 3880368 5820552 7760736 11641104 23282208