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225445120 = 285176129
BaseRepresentation
bin11010111000000…
…00010100000000
3120201012210120021
431130000110000
5430203220440
634212023224
75405152255
oct1534002400
9521183507
10225445120
1110629228a
1263601b14
1337925ca4
1421d2742c
1514bd384a
hexd700500

225445120 has 36 divisors (see below), whose sum is σ = 540014580. Its totient is φ = 90177536.

The previous prime is 225445117. The next prime is 225445133. The reversal of 225445120 is 21544522.

225445120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115949824 + 109495296 = 10768^2 + 10464^2 .

It is a congruent number.

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, 86785 + ... + 89344.

It is an arithmetic number, because the mean of its divisors is an integer number (15000405).

Almost surely, 2225445120 is an apocalyptic number.

225445120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225445120 is an abundant number, since it is smaller than the sum of its proper divisors (314569460).

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

225445120 is an equidigital number, since it uses as much as digits as its factorization.

225445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176150 (or 176136 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 225445120 is about 15014.8300023677. The cubic root of 225445120 is about 608.6210182850.

Adding to 225445120 its reverse (21544522), we get a palindrome (246989642).

It can be divided in two parts, 2254 and 45120, that added together give a palindrome (47374).

The spelling of 225445120 in words is "two hundred twenty-five million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 176129 352258 704516 880645 1409032 1761290 2818064 3522580 5636128 7045160 11272256 14090320 22544512 28180640 45089024 56361280 112722560 225445120