226840924800 has 288 divisors, whose sum is σ = 925052712480. Its totient is φ = 51849308160.

The previous prime is 226840924781. The next prime is 226840924829. The reversal of 226840924800 is 8429048622.

226840924800 is a `hidden beast` number, since 2 + 2 + 6 + 84 + 0 + 92 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 361002 + ... + 764201.

It is an arithmetic number, because the mean of its divisors is an integer number (3211988585).

Almost surely, 2^226840924800 is an apocalyptic number.

226840924800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226840924800 is an abundant number, since it is smaller than the sum of its proper divisors (698211787680).

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

226840924800 is a wasteful number, since it uses less digits than its factorization.

226840924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125240 (or 1125220 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 226840924800 in words is "two hundred twenty-six billion, eight hundred forty million, nine hundred twenty-four thousand, eight hundred".