225100512 has 288 divisors, whose sum is σ = 824493600. Its totient is φ = 59222016.

The previous prime is 225100511. The next prime is 225100529. The reversal of 225100512 is 215001522.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225100511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550164 + ... + 550572.

It is an arithmetic number, because the mean of its divisors is an integer number (2862825).

Almost surely, 2^225100512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225100512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412246800).

225100512 is an abundant number, since it is smaller than the sum of its proper divisors (599393088).

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

225100512 is a wasteful number, since it uses less digits than its factorization.

225100512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 225100512 is about 15003.3500259109. The cubic root of 225100512 is about 608.3107541170.

The spelling of 225100512 in words is "two hundred twenty-five million, one hundred thousand, five hundred twelve".