225104040 has 192 divisors, whose sum is σ = 853632000. Its totient is φ = 51424128.

The previous prime is 225104029. The next prime is 225104081. The reversal of 225104040 is 40401522.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122569 + ... + 124391.

It is an arithmetic number, because the mean of its divisors is an integer number (4446000).

Almost surely, 2^225104040 is an apocalyptic number.

225104040 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 225104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426816000).

225104040 is an abundant number, since it is smaller than the sum of its proper divisors (628527960).

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

225104040 is a wasteful number, since it uses less digits than its factorization.

225104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1840 counting only the distinct ones).

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

The square root of 225104040 is about 15003.4675991919. The cubic root of 225104040 is about 608.3139321183.

Adding to 225104040 its reverse (40401522), we get a palindrome (265505562).

The spelling of 225104040 in words is "two hundred twenty-five million, one hundred four thousand, forty".