225020160 has 288 divisors, whose sum is σ = 847687680. Its totient is φ = 56328192.

The previous prime is 225020149. The next prime is 225020167. The reversal of 225020160 is 61020522.

225020160 is a `hidden beast` number, since 2 + 2 + 502 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225020167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587329 + ... + 587711.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2^225020160 is an apocalyptic number.

225020160 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 225020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

225020160 is an abundant number, since it is smaller than the sum of its proper divisors (622667520).

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

225020160 is a wasteful number, since it uses less digits than its factorization.

225020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225020160 is about 15000.6719849479. The cubic root of 225020160 is about 608.2383645248.

Adding to 225020160 its reverse (61020522), we get a palindrome (286040682).

The spelling of 225020160 in words is "two hundred twenty-five million, twenty thousand, one hundred sixty".