226954540800 has 324 divisors, whose sum is σ = 873833027704. Its totient is φ = 55865548800.

The previous prime is 226954540783. The next prime is 226954540801. The reversal of 226954540800 is 8045459622.

226954540800 is a `hidden beast` number, since 2 + 2 + 69 + 545 + 40 + 8 + 0 + 0 = 666.

226954540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226954540801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 597255 + ... + 900345.

Almost surely, 2^226954540800 is an apocalyptic number.

226954540800 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 226954540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436916513852).

226954540800 is an abundant number, since it is smaller than the sum of its proper divisors (646878486904).

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

226954540800 is a wasteful number, since it uses less digits than its factorization.

226954540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303136 (or 303114 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 226954540800 in words is "two hundred twenty-six billion, nine hundred fifty-four million, five hundred forty thousand, eight hundred".