225422000 has 80 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 89619200.

The previous prime is 225421993. The next prime is 225422009. The reversal of 225422000 is 224522.

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

It is a self number, because there is not a number n which added to its sum of digits gives 225422000.

It is not an unprimeable number, because it can be changed into a prime (225422009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537791 + ... + 538209.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^225422000 is an apocalyptic number.

225422000 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 225422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

225422000 is an abundant number, since it is smaller than the sum of its proper divisors (322980400).

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

225422000 is a wasteful number, since it uses less digits than its factorization.

225422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 225422000 is about 15014.0600771410. The cubic root of 225422000 is about 608.6002123360.

Adding to 225422000 its reverse (224522), we get a palindrome (225646522).

It can be divided in two parts, 22542 and 2000, that added together give a palindrome (24542).

The spelling of 225422000 in words is "two hundred twenty-five million, four hundred twenty-two thousand".