225398214000 has 400 divisors, whose sum is σ = 818759637696. Its totient is φ = 59766336000.

The previous prime is 225398213987. The next prime is 225398214001. The reversal of 225398214000 is 412893522.

It is a happy number.

225398214000 is a `hidden beast` number, since 2 + 2 + 539 + 82 + 1 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225398214001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29318157 + ... + 29325843.

Almost surely, 2^225398214000 is an apocalyptic number.

225398214000 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 225398214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409379818848).

225398214000 is an abundant number, since it is smaller than the sum of its proper divisors (593361423696).

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

225398214000 is a wasteful number, since it uses less digits than its factorization.

225398214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 225398214000 in words is "two hundred twenty-five billion, three hundred ninety-eight million, two hundred fourteen thousand".