Search a number
-
+
22936968 = 2332318569
BaseRepresentation
bin101011101111…
…1110110001000
31121011022121100
41113133312020
521332440333
62135341400
7365650425
oct127376610
947138540
1022936968
1111a4697a
127821860
1349a1192
143090d4c
152031213
hex15dfd88

22936968 has 24 divisors (see below), whose sum is σ = 62121150. Its totient is φ = 7645632.

The previous prime is 22936943. The next prime is 22936973. The reversal of 22936968 is 86963922.

22936968 is a `hidden beast` number, since 229 + 369 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13089924 + 9847044 = 3618^2 + 3138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×229369682 = 1052209002066048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159213 + ... + 159356.

Almost surely, 222936968 is an apocalyptic number.

It is an amenable number.

22936968 is an abundant number, since it is smaller than the sum of its proper divisors (39184182).

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

22936968 is a wasteful number, since it uses less digits than its factorization.

22936968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318581 (or 318574 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 22936968 is about 4789.2554744971. The cubic root of 22936968 is about 284.1266709944.

It can be divided in two parts, 2293 and 6968, that added together give a cube (9261 = 213).

The spelling of 22936968 in words is "twenty-two million, nine hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 318569 637138 955707 1274276 1911414 2548552 2867121 3822828 5734242 7645656 11468484 22936968