226620323280 has 240 divisors, whose sum is σ = 821627985360. Its totient is φ = 55646134272.

The previous prime is 226620323261. The next prime is 226620323291. The reversal of 226620323280 is 82323026622.

226620323280 is a `hidden beast` number, since 2 + 2 + 6 + 620 + 3 + 2 + 3 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1466277264 + 225154046016 = 38292^2 + 474504^2 .

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3798642 + ... + 3857838.

It is an arithmetic number, because the mean of its divisors is an integer number (3423449939).

Almost surely, 2^226620323280 is an apocalyptic number.

226620323280 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 226620323280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410813992680).

226620323280 is an abundant number, since it is smaller than the sum of its proper divisors (595007662080).

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

226620323280 is a wasteful number, since it uses less digits than its factorization.

226620323280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59638 (or 59629 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226620323280 in words is "two hundred twenty-six billion, six hundred twenty million, three hundred twenty-three thousand, two hundred eighty".