225005100 has 72 divisors (see below), whose sum is σ = 655458048. Its totient is φ = 59592000.

The previous prime is 225005069. The next prime is 225005117. The reversal of 225005100 is 1500522.

225005100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 225005100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42817 + ... + 47783.

It is an arithmetic number, because the mean of its divisors is an integer number (9103584).

Almost surely, 2^225005100 is an apocalyptic number.

225005100 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 225005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327729024).

225005100 is an abundant number, since it is smaller than the sum of its proper divisors (430452948).

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

225005100 is a wasteful number, since it uses less digits than its factorization.

225005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 225005100 is about 15000.1699990367. The cubic root of 225005100 is about 608.2247949641.

Adding to 225005100 its reverse (1500522), we get a palindrome (226505622).

The spelling of 225005100 in words is "two hundred twenty-five million, five thousand, one hundred".