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422416965 = 352347109239
BaseRepresentation
bin11001001011011…
…001001001000101
31002102212000010210
4121023121021011
51331114320330
6105525510033
713316325225
oct3113311105
91072760123
10422416965
111a7497133
12b9572319
136968cb89
144015c085
15271408b0
hex192d9245

422416965 has 64 divisors (see below), whose sum is σ = 729907200. Its totient is φ = 208099584.

The previous prime is 422416961. The next prime is 422416997. The reversal of 422416965 is 569614224.

It is a happy number.

It is not a de Polignac number, because 422416965 - 22 = 422416961 is a prime.

It is a super-2 number, since 2×4224169652 = 356872184639622450, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422416961) 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 63 ways as a sum of consecutive naturals, for example, 1767316 + ... + 1767554.

It is an arithmetic number, because the mean of its divisors is an integer number (11404800).

Almost surely, 2422416965 is an apocalyptic number.

It is an amenable number.

422416965 is a deficient number, since it is larger than the sum of its proper divisors (307490235).

422416965 is a wasteful number, since it uses less digits than its factorization.

422416965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 103680, while the sum is 39.

The square root of 422416965 is about 20552.7848478010. The cubic root of 422416965 is about 750.3210270137.

The spelling of 422416965 in words is "four hundred twenty-two million, four hundred sixteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 23 47 69 109 115 141 235 239 327 345 545 705 717 1081 1195 1635 2507 3243 3585 5123 5405 5497 7521 11233 12535 15369 16215 16491 25615 26051 27485 33699 37605 56165 76845 78153 82455 117829 130255 168495 258359 353487 390765 589145 599173 775077 1224397 1291795 1767435 1797519 2995865 3673191 3875385 6121985 8987595 18365955 28161131 84483393 140805655 422416965