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422822961 = 321123185693
BaseRepresentation
bin11001001100111…
…100010000110001
31002110121122001200
4121030330100301
51331220313321
6105542321413
713322636001
oct3114742061
91073548050
10422822961
111a7744170
12b9729269
13697a2902
1440226001
15271c0d26
hex1933c431

422822961 has 24 divisors (see below), whose sum is σ = 695238336. Its totient is φ = 245113440.

The previous prime is 422822957. The next prime is 422822971. The reversal of 422822961 is 169228224.

422822961 is a `hidden beast` number, since 422 + 8 + 229 + 6 + 1 = 666.

It is not a de Polignac number, because 422822961 - 22 = 422822957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (422822971) 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 23 ways as a sum of consecutive naturals, for example, 90570 + ... + 95123.

It is an arithmetic number, because the mean of its divisors is an integer number (28968264).

Almost surely, 2422822961 is an apocalyptic number.

It is an amenable number.

422822961 is a deficient number, since it is larger than the sum of its proper divisors (272415375).

422822961 is a wasteful number, since it uses less digits than its factorization.

422822961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185733 (or 185730 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 422822961 is about 20562.6593854005. The cubic root of 422822961 is about 750.5613344334.

The spelling of 422822961 in words is "four hundred twenty-two million, eight hundred twenty-two thousand, nine hundred sixty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 185693 557079 1671237 2042623 4270939 6127869 12812817 18383607 38438451 46980329 140940987 422822961