226904924160 has 896 divisors, whose sum is σ = 870527088000. Its totient is φ = 56566480896.

The previous prime is 226904924149. The next prime is 226904924263. The reversal of 226904924160 is 61429409622.

226904924160 is a `hidden beast` number, since 2 + 2 + 69 + 0 + 492 + 41 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1522851766 + ... + 1522851914.

Almost surely, 2^226904924160 is an apocalyptic number.

226904924160 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 226904924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435263544000).

226904924160 is an abundant number, since it is smaller than the sum of its proper divisors (643622163840).

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

226904924160 is an frugal number, since it uses more digits than its factorization.

226904924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 226904924160 in words is "two hundred twenty-six billion, nine hundred four million, nine hundred twenty-four thousand, one hundred sixty".