225024210 has 64 divisors (see below), whose sum is σ = 605750400. Its totient is φ = 59438016.

The previous prime is 225024209. The next prime is 225024211. The reversal of 225024210 is 12420522.

225024210 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 (225024209) and next prime (225024211).

It is a super-2 number, since 2×225024210² = 101271790172248200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (225024211) 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, 24996 + ... + 32784.

It is an arithmetic number, because the mean of its divisors is an integer number (9464850).

Almost surely, 2^225024210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225024210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302875200).

225024210 is an abundant number, since it is smaller than the sum of its proper divisors (380726190).

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

225024210 is a wasteful number, since it uses less digits than its factorization.

225024210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225024210 is about 15000.8069782929. The cubic root of 225024210 is about 608.2420136061.

Adding to 225024210 its reverse (12420522), we get a palindrome (237444732).

The spelling of 225024210 in words is "two hundred twenty-five million, twenty-four thousand, two hundred ten".