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22795968 = 263139133
BaseRepresentation
bin101011011110…
…1011011000000
31120220011012010
41112331123000
521313432333
62132332520
7364522356
oct126753300
946804163
1022795968
111195aa48
127774140
134951c50
1430557d6
152004563
hex15bd6c0

22795968 has 56 divisors (see below), whose sum is σ = 64961008. Its totient is φ = 7013376.

The previous prime is 22795961. The next prime is 22795979. The reversal of 22795968 is 86959722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (22795961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2071 + ... + 7062.

It is an arithmetic number, because the mean of its divisors is an integer number (1160018).

Almost surely, 222795968 is an apocalyptic number.

It is an amenable number.

22795968 is an abundant number, since it is smaller than the sum of its proper divisors (42165040).

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

22795968 is a wasteful number, since it uses less digits than its factorization.

22795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9161 (or 9151 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 22795968 is about 4774.5123311182. The cubic root of 22795968 is about 283.5432717031.

The spelling of 22795968 in words is "twenty-two million, seven hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 9133 18266 27399 36532 54798 73064 109596 118729 146128 219192 237458 292256 356187 438384 474916 584512 712374 876768 949832 1424748 1753536 1899664 2849496 3799328 5698992 7598656 11397984 22795968