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22459968 = 263238993
BaseRepresentation
bin101010110101…
…1011001000000
31120021002021200
41111223121000
521222204333
62121221200
7361622646
oct125533100
946232250
1022459968
1111750563
127631800
13486502b
142da9196
151e89c13
hex156b640

22459968 has 42 divisors (see below), whose sum is σ = 64379094. Its totient is φ = 7486464.

The previous prime is 22459967. The next prime is 22459981. The reversal of 22459968 is 86995422.

It can be written as a sum of positive squares in only one way, i.e., 17040384 + 5419584 = 4128^2 + 2328^2 .

It is a super-2 number, since 2×224599682 = 1008900325122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22459961) 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 5 ways as a sum of consecutive naturals, for example, 18921 + ... + 20072.

Almost surely, 222459968 is an apocalyptic number.

It is an amenable number.

22459968 is an abundant number, since it is smaller than the sum of its proper divisors (41919126).

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

22459968 is a wasteful number, since it uses less digits than its factorization.

22459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39011 (or 38998 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 22459968 is about 4739.1948683294. The cubic root of 22459968 is about 282.1432801391.

The spelling of 22459968 in words is "twenty-two million, four hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 38993 77986 116979 155972 233958 311944 350937 467916 623888 701874 935832 1247776 1403748 1871664 2495552 2807496 3743328 5614992 7486656 11229984 22459968