225224982 has 64 divisors (see below), whose sum is σ = 523192320. Its totient is φ = 71733600.

The previous prime is 225224981. The next prime is 225224983. The reversal of 225224982 is 289422522.

225224982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225224981) and next prime (225224983).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225224981) 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, 138132 + ... + 139752.

It is an arithmetic number, because the mean of its divisors is an integer number (8174880).

Almost surely, 2^225224982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225224982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261596160).

225224982 is an abundant number, since it is smaller than the sum of its proper divisors (297967338).

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

225224982 is a wasteful number, since it uses less digits than its factorization.

225224982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 225224982 is about 15007.4975262367. The cubic root of 225224982 is about 608.4228558730.

The spelling of 225224982 in words is "two hundred twenty-five million, two hundred twenty-four thousand, nine hundred eighty-two".