225651437600 has 144 divisors (see below), whose sum is σ = 565935105960. Its totient is φ = 87805132800.

The previous prime is 225651437597. The next prime is 225651437617. The reversal of 225651437600 is 6734156522.

It can be written as a sum of positive squares in 12 ways, for example, as 35063311504 + 190588126096 = 187252^2 + 436564^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11568656 + ... + 11588144.

Almost surely, 2^225651437600 is an apocalyptic number.

225651437600 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 225651437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282967552980).

225651437600 is an abundant number, since it is smaller than the sum of its proper divisors (340283668360).

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

225651437600 is a wasteful number, since it uses less digits than its factorization.

225651437600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19903 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 225651437600 in words is "two hundred twenty-five billion, six hundred fifty-one million, four hundred thirty-seven thousand, six hundred".