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225141320 = 2355628533
BaseRepresentation
bin11010110101101…
…10001001001000
3120200122100211102
431122312021020
5430114010240
634201320532
75402445455
oct1532661110
9520570742
10225141320
111060a5008
1263496148
133784a921
1421c8882c
1514b73815
hexd6b6248

225141320 has 16 divisors (see below), whose sum is σ = 506568060. Its totient is φ = 90056512.

The previous prime is 225141311. The next prime is 225141331. The reversal of 225141320 is 23141522.

225141320 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 211935364 + 13205956 = 14558^2 + 3634^2 .

It is a super-2 number, since 2×2251413202 = 101377227942684800, which contains 22 as substring.

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 = 225141292 and 225141301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2814227 + ... + 2814306.

Almost surely, 2225141320 is an apocalyptic number.

225141320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225141320 is an abundant number, since it is smaller than the sum of its proper divisors (281426740).

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

225141320 is a wasteful number, since it uses less digits than its factorization.

225141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628544 (or 5628540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 225141320 is about 15004.7099272195. The cubic root of 225141320 is about 608.3475116897.

Adding to 225141320 its reverse (23141522), we get a palindrome (248282842).

The spelling of 225141320 in words is "two hundred twenty-five million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5628533 11257066 22514132 28142665 45028264 56285330 112570660 225141320