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422564016 = 24374672693
BaseRepresentation
bin11001001011111…
…101000010110000
31002110010110212010
4121023331002300
51331134022031
6105533002520
713320510030
oct3113750260
91073113763
10422564016
111a7587666
12b9623440
1369711aa4
14401998c0
152716e246
hex192fd0b0

422564016 has 80 divisors (see below), whose sum is σ = 1250705664. Its totient is φ = 120429312.

The previous prime is 422563993. The next prime is 422564029. The reversal of 422564016 is 610465224.

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, 155566 + ... + 158258.

Almost surely, 2422564016 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 422564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625352832).

422564016 is an abundant number, since it is smaller than the sum of its proper divisors (828141648).

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

422564016 is a wasteful number, since it uses less digits than its factorization.

422564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 422564016 is about 20556.3619349339. The cubic root of 422564016 is about 750.4080836944.

The spelling of 422564016 in words is "four hundred twenty-two million, five hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 934 1401 1868 2693 2802 3269 3736 5386 5604 6538 7472 8079 9807 10772 11208 13076 16158 18851 19614 21544 22416 26152 32316 37702 39228 43088 52304 56553 64632 75404 78456 113106 129264 150808 156912 226212 301616 452424 904848 1257631 2515262 3772893 5030524 7545786 8803417 10061048 15091572 17606834 20122096 26410251 30183144 35213668 52820502 60366288 70427336 105641004 140854672 211282008 422564016