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285225120 = 25325198073
BaseRepresentation
bin10001000000000…
…011000010100000
3201212200221022100
4101000003002200
51041004200440
644145210400
710032242055
oct2100030240
9655627270
10285225120
11137002944
127b630a00
1347126a7b
1429c4902c
151a091230
hex110030a0

285225120 has 72 divisors (see below), whose sum is σ = 973335636. Its totient is φ = 76059648.

The previous prime is 285225113. The next prime is 285225163. The reversal of 285225120 is 21522582.

It can be written as a sum of positive squares in 2 ways, for example, as 283450896 + 1774224 = 16836^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97597 + ... + 100476.

Almost surely, 2285225120 is an apocalyptic number.

285225120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285225120 is an abundant number, since it is smaller than the sum of its proper divisors (688110516).

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

285225120 is a wasteful number, since it uses less digits than its factorization.

285225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198094 (or 198083 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 285225120 is about 16888.6091789703. The cubic root of 285225120 is about 658.2576633994.

It can be divided in two parts, 2852 and 25120, that added together give a palindrome (27972).

The spelling of 285225120 in words is "two hundred eighty-five million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 198073 396146 594219 792292 990365 1188438 1584584 1782657 1980730 2376876 2971095 3169168 3565314 3961460 4753752 5942190 6338336 7130628 7922920 8913285 9507504 11884380 14261256 15845840 17826570 19015008 23768760 28522512 31691680 35653140 47537520 57045024 71306280 95075040 142612560 285225120