225973214208 has 440 divisors, whose sum is σ = 777348806784. Its totient is φ = 64049356800.

The previous prime is 225973214183. The next prime is 225973214219. The reversal of 225973214208 is 802412379522.

225973214208 is a `hidden beast` number, since 2 + 2 + 597 + 32 + 1 + 4 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76058163 + ... + 76061133.

Almost surely, 2^225973214208 is an apocalyptic number.

225973214208 is a gapful number since it is divisible by the number (28) 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 225973214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388674403392).

225973214208 is an abundant number, since it is smaller than the sum of its proper divisors (551375592576).

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

225973214208 is a wasteful number, since it uses less digits than its factorization.

225973214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 225973214208 in words is "two hundred twenty-five billion, nine hundred seventy-three million, two hundred fourteen thousand, two hundred eight".