226505502720 has 936 divisors, whose sum is σ = 943933461120. Its totient is φ = 50040668160.

The previous prime is 226505502719. The next prime is 226505502803. The reversal of 226505502720 is 27205505622.

It is a happy number.

226505502720 is a `hidden beast` number, since 2 + 2 + 65 + 0 + 550 + 27 + 20 = 666.

226505502720 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279981676 + ... + 279982484.

It is an arithmetic number, because the mean of its divisors is an integer number (1008475920).

Almost surely, 2^226505502720 is an apocalyptic number.

226505502720 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 226505502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471966730560).

226505502720 is an abundant number, since it is smaller than the sum of its proper divisors (717427958400).

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

226505502720 is a wasteful number, since it uses less digits than its factorization.

226505502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 226505502720 in words is "two hundred twenty-six billion, five hundred five million, five hundred two thousand, seven hundred twenty".