226107262080 has 576 divisors, whose sum is σ = 941921023680. Its totient is φ = 51679918080.

The previous prime is 226107262061. The next prime is 226107262099. The reversal of 226107262080 is 80262701622.

226107262080 is a `hidden beast` number, since 2 + 26 + 1 + 0 + 7 + 2 + 620 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226107262061) and next prime (226107262099).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×226107262080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7605645 + ... + 7635315.

It is an arithmetic number, because the mean of its divisors is an integer number (1635279555).

Almost surely, 2^226107262080 is an apocalyptic number.

226107262080 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 226107262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470960511840).

226107262080 is an abundant number, since it is smaller than the sum of its proper divisors (715813761600).

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

226107262080 is an equidigital number, since it uses as much as digits as its factorization.

226107262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29719 (or 29688 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 226107262080 in words is "two hundred twenty-six billion, one hundred seven million, two hundred sixty-two thousand, eighty".