225950160 has 80 divisors (see below), whose sum is σ = 730917504. Its totient is φ = 57632256.

The previous prime is 225950159. The next prime is 225950171. The reversal of 225950160 is 61059522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14947 + ... + 25986.

Almost surely, 2^225950160 is an apocalyptic number.

225950160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225950160 is an abundant number, since it is smaller than the sum of its proper divisors (504967344).

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

225950160 is a wasteful number, since it uses less digits than its factorization.

225950160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40972 (or 40966 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 225950160 is about 15031.6386332296. The cubic root of 225950160 is about 609.0751549960.

The spelling of 225950160 in words is "two hundred twenty-five million, nine hundred fifty thousand, one hundred sixty".