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22465768 = 2313337641
BaseRepresentation
bin101010110110…
…0110011101000
31120021101020111
41111230303220
521222401033
62121304104
7361645603
oct125546350
946241214
1022465768
1111754956
127635034
134867870
142dab33a
151e8b7cd
hex156cce8

22465768 has 32 divisors (see below), whose sum is σ = 45569160. Its totient is φ = 10321920.

The previous prime is 22465759. The next prime is 22465769. The reversal of 22465768 is 86756422.

It can be written as a sum of positive squares in 4 ways, for example, as 17791524 + 4674244 = 4218^2 + 2162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22465768.

It is not an unprimeable number, because it can be changed into a prime (22465769) 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, 34728 + ... + 35368.

It is a vampire number, since it can be written as 25648762 (with its own digits).

Almost surely, 222465768 is an apocalyptic number.

It is an amenable number.

22465768 is an abundant number, since it is smaller than the sum of its proper divisors (23103392).

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

22465768 is a wasteful number, since it uses less digits than its factorization.

22465768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 22465768 is about 4739.8067471153. The cubic root of 22465768 is about 282.1675646822.

The spelling of 22465768 in words is "twenty-two million, four hundred sixty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 337 641 674 1282 1348 2564 2696 4381 5128 8333 8762 16666 17524 33332 35048 66664 216017 432034 864068 1728136 2808221 5616442 11232884 22465768