225219938371200 has 288 divisors, whose sum is σ = 803659301976960. Its totient is φ = 60056935188480.

The previous prime is 225219938371177. The next prime is 225219938371261. The reversal of 225219938371200 is 2173839912522.

225219938371200 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 199 + 383 + 71 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×225219938371200³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1252335687 + ... + 1252515513.

It is an arithmetic number, because the mean of its divisors is an integer number (2790483687420).

Almost surely, 2^{225219938371200} is an apocalyptic number.

225219938371200 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 225219938371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401829650988480).

225219938371200 is an abundant number, since it is smaller than the sum of its proper divisors (578439363605760).

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

225219938371200 is a wasteful number, since it uses less digits than its factorization.

225219938371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223344 (or 223324 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 225219938371200 in words is "two hundred twenty-five trillion, two hundred nineteen billion, nine hundred thirty-eight million, three hundred seventy-one thousand, two hundred".