226424121800 has 36 divisors (see below), whose sum is σ = 526451729505. Its totient is φ = 90566956960.

The previous prime is 226424121787. The next prime is 226424121811. The reversal of 226424121800 is 8121424622.

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 2 ways, for example, as 221895639364 + 4528482436 = 471058^2 + 67294^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336470.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6712577 + ... + 6746223.

Almost surely, 2^226424121800 is an apocalyptic number.

226424121800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226424121800 is an abundant number, since it is smaller than the sum of its proper divisors (300027607705).

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

226424121800 is an frugal number, since it uses more digits than its factorization.

226424121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67310 (or 33654 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Multiplying 226424121800 by its sum of digits (32), we get a square (7245571897600 = 2691760²).

The spelling of 226424121800 in words is "two hundred twenty-six billion, four hundred twenty-four million, one hundred twenty-one thousand, eight hundred".