226905477120 has 1248 divisors, whose sum is σ = 968231243520. Its totient is φ = 49368268800.

The previous prime is 226905477103. The next prime is 226905477133. The reversal of 226905477120 is 21774509622.

226905477120 is a `hidden beast` number, since 2 + 2 + 6 + 90 + 547 + 7 + 12 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3719761890 + ... + 3719761950.

Almost surely, 2^226905477120 is an apocalyptic number.

226905477120 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 226905477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484115621760).

226905477120 is an abundant number, since it is smaller than the sum of its proper divisors (741325766400).

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

226905477120 is an equidigital number, since it uses as much as digits as its factorization.

226905477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 226905477120 in words is "two hundred twenty-six billion, nine hundred five million, four hundred seventy-seven thousand, one hundred twenty".