226218358080 has 1344 divisors, whose sum is σ = 982548403200. Its totient is φ = 46926397440.

The previous prime is 226218358039. The next prime is 226218358099. The reversal of 226218358080 is 80853812622.

226218358080 is a `hidden beast` number, since 2 + 2 + 6 + 218 + 358 + 0 + 80 = 666.

It is a super-2 number, since 2×226218358080² (a number of 24 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 553100916 + ... + 553101324.

It is an arithmetic number, because the mean of its divisors is an integer number (731062800).

Almost surely, 2^226218358080 is an apocalyptic number.

226218358080 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 226218358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491274201600).

226218358080 is an abundant number, since it is smaller than the sum of its proper divisors (756330045120).

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

226218358080 is a wasteful number, since it uses less digits than its factorization.

226218358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 226218358080 in words is "two hundred twenty-six billion, two hundred eighteen million, three hundred fifty-eight thousand, eighty".