225022000 has 80 divisors (see below), whose sum is σ = 621870912. Its totient is φ = 77145600.

The previous prime is 225021971. The next prime is 225022003. The reversal of 225022000 is 220522.

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

It is not an unprimeable number, because it can be changed into a prime (225022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5964 + ... + 22036.

Almost surely, 2^225022000 is an apocalyptic number.

225022000 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 225022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310935456).

225022000 is an abundant number, since it is smaller than the sum of its proper divisors (396848912).

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

225022000 is a wasteful number, since it uses less digits than its factorization.

225022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16087 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 225022000 is about 15000.7333154083. The cubic root of 225022000 is about 608.2400223844.

Adding to 225022000 its reverse (220522), we get a palindrome (225242522).

The spelling of 225022000 in words is "two hundred twenty-five million, twenty-two thousand".