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422697152 = 2631257829
BaseRepresentation
bin11001001100011…
…101100011000000
31002110101020111002
4121030131203000
51331202302102
6105535511132
713321603133
oct3114354300
91073336432
10422697152
111a7668699
12b96884a8
136975a577
14401d221a
1527198902
hex1931d8c0

422697152 has 56 divisors (see below), whose sum is σ = 870264960. Its totient is φ = 203489280.

The previous prime is 422697133. The next prime is 422697157. The reversal of 422697152 is 251796224.

It is a super-2 number, since 2×4226971522 = 357345764617822208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422697157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509474 + ... + 510302.

Almost surely, 2422697152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435132480).

422697152 is an abundant number, since it is smaller than the sum of its proper divisors (447567808).

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

422697152 is a wasteful number, since it uses less digits than its factorization.

422697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1119 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 422697152 is about 20559.5999961089. The cubic root of 422697152 is about 750.4868850407.

The spelling of 422697152 in words is "four hundred twenty-two million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 257 496 514 829 992 1028 1658 1984 2056 3316 4112 6632 7967 8224 13264 15934 16448 25699 26528 31868 51398 53056 63736 102796 127472 205592 213053 254944 411184 426106 509888 822368 852212 1644736 1704424 3408848 6604643 6817696 13209286 13635392 26418572 52837144 105674288 211348576 422697152