225414144 has 176 divisors, whose sum is σ = 691722240. Its totient is φ = 72437760.

The previous prime is 225414131. The next prime is 225414173. The reversal of 225414144 is 441414522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856957 + ... + 857219.

It is an arithmetic number, because the mean of its divisors is an integer number (3930240).

Almost surely, 2^225414144 is an apocalyptic number.

225414144 is a gapful number since it is divisible by the number (24) 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 225414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345861120).

225414144 is an abundant number, since it is smaller than the sum of its proper divisors (466308096).

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

225414144 is a wasteful number, since it uses less digits than its factorization.

225414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 299 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 225414144 is about 15013.7984534228. The cubic root of 225414144 is about 608.5931423091.

Adding to 225414144 its reverse (441414522), we get a palindrome (666828666).

The spelling of 225414144 in words is "two hundred twenty-five million, four hundred fourteen thousand, one hundred forty-four".