225342040 has 128 divisors (see below), whose sum is σ = 659819520. Its totient is φ = 67161600.

The previous prime is 225342023. The next prime is 225342041. The reversal of 225342040 is 40243522.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225342041) 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, 69250 + ... + 72430.

It is an arithmetic number, because the mean of its divisors is an integer number (5154840).

Almost surely, 2^225342040 is an apocalyptic number.

225342040 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 225342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329909760).

225342040 is an abundant number, since it is smaller than the sum of its proper divisors (434477480).

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

225342040 is a wasteful number, since it uses less digits than its factorization.

225342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 225342040 is about 15011.3970036103. The cubic root of 225342040 is about 608.5282444595.

Adding to 225342040 its reverse (40243522), we get a palindrome (265585562).

The spelling of 225342040 in words is "two hundred twenty-five million, three hundred forty-two thousand, forty".