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16228864 = 29291093
BaseRepresentation
bin111101111010…
…001000000000
31010112111211001
4331322020000
513123310424
61335501344
7254641321
oct75721000
933474731
1016228864
119184a93
125527854
133492aa2
142226448
151658844
hexf7a200

16228864 has 40 divisors (see below), whose sum is σ = 33574860. Its totient is φ = 7827456.

The previous prime is 16228853. The next prime is 16228879. The reversal of 16228864 is 46882261.

It can be written as a sum of positive squares in 2 ways, for example, as 14379264 + 1849600 = 3792^2 + 1360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14302 + ... + 15394.

Almost surely, 216228864 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 16228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787430).

16228864 is an abundant number, since it is smaller than the sum of its proper divisors (17345996).

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

16228864 is an equidigital number, since it uses as much as digits as its factorization.

16228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1124 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 16228864 is about 4028.5064229811. The cubic root of 16228864 is about 253.1799872209.

The spelling of 16228864 in words is "sixteen million, two hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1093 1856 2186 3712 4372 7424 8744 14848 17488 31697 34976 63394 69952 126788 139904 253576 279808 507152 559616 1014304 2028608 4057216 8114432 16228864