225414000 has 240 divisors, whose sum is σ = 900269760. Its totient is φ = 51494400.

The previous prime is 225413977. The next prime is 225414017. The reversal of 225414000 is 414522.

225414000 is a `hidden beast` number, since 225 + 41 + 400 + 0 = 666.

225414000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×225414000² = 101622942792000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125106 + ... + 126894.

It is an arithmetic number, because the mean of its divisors is an integer number (3751124).

Almost surely, 2^225414000 is an apocalyptic number.

225414000 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 225414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450134880).

225414000 is an abundant number, since it is smaller than the sum of its proper divisors (674855760).

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

225414000 is a wasteful number, since it uses less digits than its factorization.

225414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1806 counting only the distinct ones).

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

The square root of 225414000 is about 15013.7936578335. The cubic root of 225414000 is about 608.5930127144.

Adding to 225414000 its reverse (414522), we get a palindrome (225828522).

The spelling of 225414000 in words is "two hundred twenty-five million, four hundred fourteen thousand".