225159480 has 512 divisors, whose sum is σ = 967680000. Its totient is φ = 45287424.

The previous prime is 225159461. The next prime is 225159491. The reversal of 225159480 is 84951522.

225159480 is a `hidden beast` number, since 2 + 25 + 159 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2850081 + ... + 2850159.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 2^225159480 is an apocalyptic number.

225159480 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 225159480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840000).

225159480 is an abundant number, since it is smaller than the sum of its proper divisors (742520520).

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

225159480 is a wasteful number, since it uses less digits than its factorization.

225159480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 225159480 is about 15005.3150583385. The cubic root of 225159480 is about 608.3638677778.

The spelling of 225159480 in words is "two hundred twenty-five million, one hundred fifty-nine thousand, four hundred eighty".