Search a number
-
+
22966848 = 263313291
BaseRepresentation
bin101011110011…
…1001001000000
31121012211121000
41113213021000
521334414343
62140132000
7366133512
oct127471100
947184530
1022966848
1111a67373
127837000
1349b1968
14309bbb2
152039ed3
hex15e7240

22966848 has 56 divisors (see below), whose sum is σ = 67523360. Its totient is φ = 7655040.

The previous prime is 22966843. The next prime is 22966849. The reversal of 22966848 is 84866922.

It is a super-2 number, since 2×229668482 = 1054952214110208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22966841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4918 + ... + 8373.

Almost surely, 222966848 is an apocalyptic number.

It is an amenable number.

22966848 is an abundant number, since it is smaller than the sum of its proper divisors (44556512).

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

22966848 is a wasteful number, since it uses less digits than its factorization.

22966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312 (or 13296 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 22966848 is about 4792.3739420041. The cubic root of 22966848 is about 284.2499947786.

The spelling of 22966848 in words is "twenty-two million, nine hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 13291 26582 39873 53164 79746 106328 119619 159492 212656 239238 318984 358857 425312 478476 637968 717714 850624 956952 1275936 1435428 1913904 2551872 2870856 3827808 5741712 7655616 11483424 22966848