225010000 has 50 divisors (see below), whose sum is σ = 544795922. Its totient is φ = 90000000.

The previous prime is 225009991. The next prime is 225010021. The reversal of 225010000 is 10522.

It can be written as a sum of positive squares in 5 ways, for example, as 18455616 + 206554384 = 4296^2 + 14372^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1251 + ... + 21250.

Almost surely, 2^225010000 is an apocalyptic number.

225010000 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 225010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272397961).

225010000 is an abundant number, since it is smaller than the sum of its proper divisors (319785922).

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

225010000 is an equidigital number, since it uses as much as digits as its factorization.

225010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22529 (or 22508 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 225010000 is about 15000.3333296297. Note that the first 4 decimals coincide. The cubic root of 225010000 is about 608.2292100935.

Adding to 225010000 its reverse (10522), we get a palindrome (225020522).

The spelling of 225010000 in words is "two hundred twenty-five million, ten thousand".