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422097264 = 24334312267
BaseRepresentation
bin11001001010001…
…011000101110000
31002102020202121000
4121022023011300
51331024103024
6105515002000
713313524161
oct3112130560
91072222530
10422097264
111a7298a16
12b9439300
13695aa4c4
14400b7768
15270cacc9
hex1928b170

422097264 has 80 divisors (see below), whose sum is σ = 1214922240. Its totient is φ = 140310720.

The previous prime is 422097259. The next prime is 422097283. The reversal of 422097264 is 462790224.

It is a super-2 number, since 2×4220972642 = 356332200552571392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185059 + ... + 187325.

It is an arithmetic number, because the mean of its divisors is an integer number (15186528).

Almost surely, 2422097264 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 422097264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607461120).

422097264 is an abundant number, since it is smaller than the sum of its proper divisors (792824976).

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

422097264 is a wasteful number, since it uses less digits than its factorization.

422097264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 422097264 is about 20545.0058164995. The cubic root of 422097264 is about 750.1316888760.

The spelling of 422097264 in words is "four hundred twenty-two million, ninety-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 431 432 862 1293 1724 2267 2586 3448 3879 4534 5172 6801 6896 7758 9068 10344 11637 13602 15516 18136 20403 20688 23274 27204 31032 36272 40806 46548 54408 61209 62064 81612 93096 108816 122418 163224 186192 244836 326448 489672 977077 979344 1954154 2931231 3908308 5862462 7816616 8793693 11724924 15633232 17587386 23449848 26381079 35174772 46899696 52762158 70349544 105524316 140699088 211048632 422097264