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22973013 = 3272113461
BaseRepresentation
bin101011110100…
…0101001010101
31121020011001100
41113220221111
521340114023
62140220313
7366160500
oct127505125
947204040
1022973013
1111a70a68
12783a699
1349b46cb
1430a0137
15203bc43
hex15e8a55

22973013 has 36 divisors (see below), whose sum is σ = 39026988. Its totient is φ = 12983040.

The previous prime is 22973003. The next prime is 22973053. The reversal of 22973013 is 31037922.

It can be written as a sum of positive squares in 2 ways, for example, as 2965284 + 20007729 = 1722^2 + 4473^2 .

It is not a de Polignac number, because 22973013 - 28 = 22972757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22973003) 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 35 ways as a sum of consecutive naturals, for example, 49603 + ... + 50063.

It is an arithmetic number, because the mean of its divisors is an integer number (1084083).

Almost surely, 222973013 is an apocalyptic number.

It is an amenable number.

22973013 is a deficient number, since it is larger than the sum of its proper divisors (16053975).

22973013 is a wasteful number, since it uses less digits than its factorization.

22973013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 22973013 is about 4793.0171082524. The cubic root of 22973013 is about 284.2754262824.

The spelling of 22973013 in words is "twenty-two million, nine hundred seventy-three thousand, thirteen".

Divisors: 1 3 7 9 21 49 63 113 147 339 441 461 791 1017 1383 2373 3227 4149 5537 7119 9681 16611 22589 29043 49833 52093 67767 156279 203301 364651 468837 1093953 2552557 3281859 7657671 22973013