226908126720 has 240 divisors, whose sum is σ = 857288223792. Its totient is φ = 55007969280.

The previous prime is 226908126631. The next prime is 226908126749. The reversal of 226908126720 is 27621809622.

226908126720 is a `hidden beast` number, since 226 + 90 + 81 + 267 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194217 + ... + 701096.

Almost surely, 2^226908126720 is an apocalyptic number.

226908126720 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 226908126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428644111896).

226908126720 is an abundant number, since it is smaller than the sum of its proper divisors (630380097072).

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

226908126720 is a wasteful number, since it uses less digits than its factorization.

226908126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895353 (or 895334 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 226908126720 in words is "two hundred twenty-six billion, nine hundred eight million, one hundred twenty-six thousand, seven hundred twenty".