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22772993 is a prime number
BaseRepresentation
bin101011011011…
…1110100000001
31120211222200012
41112313310001
521312213433
62132034305
7364365365
oct126676401
946758605
1022772993
1111944761
127762995
134944659
14304b2a5
151eec848
hex15b7d01

22772993 has 2 divisors, whose sum is σ = 22772994. Its totient is φ = 22772992.

The previous prime is 22772951. The next prime is 22773029. The reversal of 22772993 is 39927722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12837889 + 9935104 = 3583^2 + 3152^2 .

It is a cyclic number.

It is not a de Polignac number, because 22772993 - 224 = 5995777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22772993.

It is not a weakly prime, because it can be changed into another prime (22772923) 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 as a sum of consecutive naturals, namely, 11386496 + 11386497.

It is an arithmetic number, because the mean of its divisors is an integer number (11386497).

Almost surely, 222772993 is an apocalyptic number.

It is an amenable number.

22772993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22772993 is an equidigital number, since it uses as much as digits as its factorization.

22772993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 95256, while the sum is 41.

The square root of 22772993 is about 4772.1057197007. The cubic root of 22772993 is about 283.4479829746.

The spelling of 22772993 in words is "twenty-two million, seven hundred seventy-two thousand, nine hundred ninety-three".