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422806164 = 2231119263641
BaseRepresentation
bin11001001100111…
…000001010010100
31002110120210000120
4121030320022110
51331214244124
6105542111540
713322536014
oct3114701224
91073523016
10422806164
111a7732590
12b971b5b0
1369798081
144021dc44
15271bad79
hex19338294

422806164 has 96 divisors (see below), whose sum is σ = 1138959360. Its totient is φ = 120729600.

The previous prime is 422806157. The next prime is 422806187. The reversal of 422806164 is 461608224.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659284 + ... + 659924.

It is an arithmetic number, because the mean of its divisors is an integer number (11864160).

Almost surely, 2422806164 is an apocalyptic number.

422806164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422806164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569479680).

422806164 is an abundant number, since it is smaller than the sum of its proper divisors (716153196).

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

422806164 is a wasteful number, since it uses less digits than its factorization.

422806164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 422806164 is about 20562.2509468200. The cubic root of 422806164 is about 750.5513954070.

The spelling of 422806164 in words is "four hundred twenty-two million, eight hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 263 418 526 627 641 789 836 1052 1254 1282 1578 1923 2508 2564 2893 3156 3846 4997 5786 7051 7692 8679 9994 11572 12179 14102 14991 17358 19988 21153 24358 28204 29982 34716 36537 42306 48716 54967 59964 73074 84612 109934 133969 146148 164901 168583 219868 267938 329802 337166 401907 505749 535876 659604 674332 803814 1011498 1607628 1854413 2022996 3203077 3708826 5563239 6406154 7417652 9609231 11126478 12812308 19218462 22252956 35233847 38436924 70467694 105701541 140935388 211403082 422806164