225101000 has 64 divisors (see below), whose sum is σ = 549694080. Its totient is φ = 86116800.

The previous prime is 225100991. The next prime is 225101011. The reversal of 225101000 is 101522.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18107 + ... + 27893.

It is an arithmetic number, because the mean of its divisors is an integer number (8588970).

Almost surely, 2^225101000 is an apocalyptic number.

225101000 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 225101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274847040).

225101000 is an abundant number, since it is smaller than the sum of its proper divisors (324593080).

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

225101000 is a wasteful number, since it uses less digits than its factorization.

225101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9831 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 225101000 is about 15003.3662889366. The cubic root of 225101000 is about 608.3111937065.

Adding to 225101000 its reverse (101522), we get a palindrome (225202522).

The spelling of 225101000 in words is "two hundred twenty-five million, one hundred one thousand".