225142560 has 216 divisors, whose sum is σ = 817660116. Its totient is φ = 56401920.

The previous prime is 225142523. The next prime is 225142583. The reversal of 225142560 is 65241522.

225142560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 150700176 + 74442384 = 12276^2 + 8628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 415890 + ... + 416430.

Almost surely, 2^225142560 is an apocalyptic number.

225142560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408830058).

225142560 is an abundant number, since it is smaller than the sum of its proper divisors (592517556).

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

225142560 is a wasteful number, since it uses less digits than its factorization.

225142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225142560 is about 15004.7512475216. The cubic root of 225142560 is about 608.3486285431.

The spelling of 225142560 in words is "two hundred twenty-five million, one hundred forty-two thousand, five hundred sixty".