225833963520 has 832 divisors, whose sum is σ = 851130086400. Its totient is φ = 50536120320.

The previous prime is 225833963489. The next prime is 225833963543. The reversal of 225833963520 is 25369338522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 225833963520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552161076 + ... + 552161484.

Almost surely, 2^225833963520 is an apocalyptic number.

225833963520 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 225833963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425565043200).

225833963520 is an abundant number, since it is smaller than the sum of its proper divisors (625296122880).

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

225833963520 is a wasteful number, since it uses less digits than its factorization.

225833963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 225833963520 in words is "two hundred twenty-five billion, eight hundred thirty-three million, nine hundred sixty-three thousand, five hundred twenty".