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664165224 = 23335036113
BaseRepresentation
bin100111100101100…
…101101101101000
31201021202002102000
4213211211231220
52330011241344
6145523211000
722313211522
oct4745455550
91637662360
10664165224
113109a4188
12166516a60
13a77a3698
14642caa12
153d494a69
hex27965b68

664165224 has 64 divisors (see below), whose sum is σ = 1848873600. Its totient is φ = 220912128.

The previous prime is 664165219. The next prime is 664165241. The reversal of 664165224 is 422561466.

664165224 is a `hidden beast` number, since 6 + 641 + 6 + 5 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×6641652242 = 882230889541940352, which contains 22 as substring.

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

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, 105592 + ... + 111704.

It is an arithmetic number, because the mean of its divisors is an integer number (28888650).

Almost surely, 2664165224 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 664165224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924436800).

664165224 is an abundant number, since it is smaller than the sum of its proper divisors (1184708376).

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

664165224 is a wasteful number, since it uses less digits than its factorization.

664165224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6621 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 664165224 is about 25771.4032214003. The cubic root of 664165224 is about 872.4864896116.

The spelling of 664165224 in words is "six hundred sixty-four million, one hundred sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 503 1006 1509 2012 3018 4024 4527 6036 6113 9054 12072 12226 13581 18108 18339 24452 27162 36216 36678 48904 54324 55017 73356 108648 110034 146712 165051 220068 330102 440136 660204 1320408 3074839 6149678 9224517 12299356 18449034 24598712 27673551 36898068 55347102 73796136 83020653 110694204 166041306 221388408 332082612 664165224