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225138180 = 22353752303
BaseRepresentation
bin11010110101101…
…01011000000100
3120200122012112010
431122311120010
5430113410210
634201254220
75402433351
oct1532653004
9520565463
10225138180
111060a2713
1263494370
1337849377
1421c87628
1514b72920
hexd6b5604

225138180 has 24 divisors (see below), whose sum is σ = 630387072. Its totient is φ = 60036832.

The previous prime is 225138127. The next prime is 225138181. The reversal of 225138180 is 81831522.

225138180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (225138181) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1876092 + ... + 1876211.

It is an arithmetic number, because the mean of its divisors is an integer number (26266128).

Almost surely, 2225138180 is an apocalyptic number.

225138180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225138180 is an abundant number, since it is smaller than the sum of its proper divisors (405248892).

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

225138180 is a wasteful number, since it uses less digits than its factorization.

225138180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752315 (or 3752313 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 225138180 is about 15004.6052930425. The cubic root of 225138180 is about 608.3446835104.

The spelling of 225138180 in words is "two hundred twenty-five million, one hundred thirty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3752303 7504606 11256909 15009212 18761515 22513818 37523030 45027636 56284545 75046060 112569090 225138180