225926420000 has 90 divisors (see below), whose sum is σ = 555978302649. Its totient is φ = 90343680000.

The previous prime is 225926419993. The next prime is 225926420053. The reversal of 225926420000 is 24629522.

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.

It can be written as a sum of positive squares in 8 ways, for example, as 107578384 + 225818841616 = 10372^2 + 475204^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336100.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 67218320 + ... + 67221680.

Almost surely, 2^225926420000 is an apocalyptic number.

225926420000 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 225926420000

225926420000 is an abundant number, since it is smaller than the sum of its proper divisors (330051882649).

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

225926420000 is an frugal number, since it uses more digits than its factorization.

225926420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6752 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 225926420000 by its sum of digits (32), we get a square (7229645440000 = 2688800²).

225926420000 divided by its sum of digits (32) gives a square (7060200625 = 84025²).

The spelling of 225926420000 in words is "two hundred twenty-five billion, nine hundred twenty-six million, four hundred twenty thousand".