225751681800 has 180 divisors, whose sum is σ = 784279129095. Its totient is φ = 60184321920.

The previous prime is 225751681789. The next prime is 225751681847. The reversal of 225751681800 is 8186157522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225751681800 is a `hidden beast` number, since 2 + 2 + 57 + 516 + 8 + 1 + 80 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 91958136516 + 133793545284 = 303246^2 + 365778^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335970.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60472734 + ... + 60476466.

Almost surely, 2^225751681800 is an apocalyptic number.

225751681800 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 225751681800

225751681800 is an abundant number, since it is smaller than the sum of its proper divisors (558527447295).

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

225751681800 is an frugal number, since it uses more digits than its factorization.

225751681800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 225751681800 in words is "two hundred twenty-five billion, seven hundred fifty-one million, six hundred eighty-one thousand, eight hundred".