225898816500 has 576 divisors, whose sum is σ = 833798085120. Its totient is φ = 50419353600.

The previous prime is 225898816483. The next prime is 225898816529. The reversal of 225898816500 is 5618898522.

It is a happy number.

225898816500 is a `hidden beast` number, since 2 + 2 + 58 + 9 + 8 + 81 + 6 + 500 = 666.

225898816500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225898816500² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366124192 + ... + 366124808.

It is an arithmetic number, because the mean of its divisors is an integer number (1447566120).

Almost surely, 2^225898816500 is an apocalyptic number.

225898816500 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 225898816500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416899042560).

225898816500 is an abundant number, since it is smaller than the sum of its proper divisors (607899268620).

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

225898816500 is a wasteful number, since it uses less digits than its factorization.

225898816500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 225898816500 in words is "two hundred twenty-five billion, eight hundred ninety-eight million, eight hundred sixteen thousand, five hundred".