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22963968 = 28329967
BaseRepresentation
bin101011110011…
…0011100000000
31121012200122100
41113212130000
521334321333
62140110400
7366122226
oct127463400
947180570
1022963968
1111a65195
127835400
1349b0561
14309ab16
152039213
hex15e6700

22963968 has 54 divisors (see below), whose sum is σ = 66217424. Its totient is φ = 7653888.

The previous prime is 22963949. The next prime is 22963979. The reversal of 22963968 is 86936922.

22963968 is a `hidden beast` number, since 2 + 2 + 9 + 639 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2680 + ... + 7287.

Almost surely, 222963968 is an apocalyptic number.

It is an amenable number.

22963968 is an abundant number, since it is smaller than the sum of its proper divisors (43253456).

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

22963968 is an equidigital number, since it uses as much as digits as its factorization.

22963968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9972 counting only the distinct ones).

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

The square root of 22963968 is about 4792.0734551966. The cubic root of 22963968 is about 284.2381128085.

The spelling of 22963968 in words is "twenty-two million, nine hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 9967 19934 29901 39868 59802 79736 89703 119604 159472 179406 239208 318944 358812 478416 637888 717624 956832 1275776 1435248 1913664 2551552 2870496 3827328 5740992 7654656 11481984 22963968