225101664 has 144 divisors (see below), whose sum is σ = 696084480. Its totient is φ = 68739840.

The previous prime is 225101647. The next prime is 225101671. The reversal of 225101664 is 466101522.

225101664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 168969 + ... + 170295.

It is an arithmetic number, because the mean of its divisors is an integer number (4833920).

Almost surely, 2^225101664 is an apocalyptic number.

225101664 is a gapful number since it is divisible by the number (24) 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 225101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348042240).

225101664 is an abundant number, since it is smaller than the sum of its proper divisors (470982816).

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

225101664 is a wasteful number, since it uses less digits than its factorization.

225101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225101664 is about 15003.3884172876. The cubic root of 225101664 is about 608.3117918354.

The spelling of 225101664 in words is "two hundred twenty-five million, one hundred one thousand, six hundred sixty-four".