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225530120 = 2355638253
BaseRepresentation
bin11010111000101…
…01000100001000
3120201101010011102
431130111010020
5430213430440
634213520532
75405655134
oct1534250410
9521333142
10225530120
11106340132
1263643148
133795589a
1421d4a3c4
1514bedb15
hexd715108

225530120 has 16 divisors (see below), whose sum is σ = 507442860. Its totient is φ = 90212032.

The previous prime is 225530117. The next prime is 225530147. The reversal of 225530120 is 21035522.

It can be written as a sum of positive squares in 2 ways, for example, as 221473924 + 4056196 = 14882^2 + 2014^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225530092 and 225530101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2819087 + ... + 2819166.

Almost surely, 2225530120 is an apocalyptic number.

225530120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225530120 is an abundant number, since it is smaller than the sum of its proper divisors (281912740).

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

225530120 is a wasteful number, since it uses less digits than its factorization.

225530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5638264 (or 5638260 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 225530120 is about 15017.6602704949. The cubic root of 225530120 is about 608.6974985185.

Adding to 225530120 its reverse (21035522), we get a palindrome (246565642).

The spelling of 225530120 in words is "two hundred twenty-five million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5638253 11276506 22553012 28191265 45106024 56382530 112765060 225530120