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85224 = 2335367
BaseRepresentation
bin10100110011101000
311022220110
4110303220
510211344
61454320
7503316
oct246350
9138813
1085224
1159037
12413a0
132ca39
14230b6
151a3b9
hex14ce8

85224 has 32 divisors (see below), whose sum is σ = 220320. Its totient is φ = 27456.

The previous prime is 85223. The next prime is 85229. The reversal of 85224 is 42258.

It is a self number, because there is not a number n which added to its sum of digits gives 85224.

It is not an unprimeable number, because it can be changed into a prime (85223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1239 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

285224 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 85224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

85224 is an abundant number, since it is smaller than the sum of its proper divisors (135096).

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

85224 is a wasteful number, since it uses less digits than its factorization.

85224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 85224 is about 291.9314988144. The cubic root of 85224 is about 44.0068859746.

The spelling of 85224 in words is "eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 159 201 212 268 318 402 424 536 636 804 1272 1608 3551 7102 10653 14204 21306 28408 42612 85224