Search a number
-
+
22918968 = 2332318319
BaseRepresentation
bin101011101101…
…1011100111000
31121010101220200
41113123130320
521331401333
62135122200
7365544102
oct127333470
947111820
1022918968
1111a343a6
127813360
134995c27
143088572
15202ac13
hex15db738

22918968 has 24 divisors (see below), whose sum is σ = 62072400. Its totient is φ = 7639632.

The previous prime is 22918967. The next prime is 22918969. The reversal of 22918968 is 86981922.

It is an interprime number because it is at equal distance from previous prime (22918967) and next prime (22918969).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22918967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159088 + ... + 159231.

It is an arithmetic number, because the mean of its divisors is an integer number (2586350).

Almost surely, 222918968 is an apocalyptic number.

It is an amenable number.

22918968 is an abundant number, since it is smaller than the sum of its proper divisors (39153432).

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

22918968 is a wasteful number, since it uses less digits than its factorization.

22918968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318331 (or 318324 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 22918968 is about 4787.3758991748. The cubic root of 22918968 is about 284.0523278570.

The spelling of 22918968 in words is "twenty-two million, nine hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 318319 636638 954957 1273276 1909914 2546552 2864871 3819828 5729742 7639656 11459484 22918968