226198517220 has 384 divisors, whose sum is σ = 800387481600. Its totient is φ = 52613991936.

The previous prime is 226198517177. The next prime is 226198517267. The reversal of 226198517220 is 22715891622.

226198517220 is a `hidden beast` number, since 2 + 2 + 619 + 8 + 5 + 1 + 7 + 2 + 20 = 666.

226198517220 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13392741 + ... + 13409619.

It is an arithmetic number, because the mean of its divisors is an integer number (2084342400).

Almost surely, 2^226198517220 is an apocalyptic number.

226198517220 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 226198517220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400193740800).

226198517220 is an abundant number, since it is smaller than the sum of its proper divisors (574188964380).

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

226198517220 is a wasteful number, since it uses less digits than its factorization.

226198517220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17016 (or 17008 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 226198517220 in words is "two hundred twenty-six billion, one hundred ninety-eight million, five hundred seventeen thousand, two hundred twenty".