226188048240 has 800 divisors, whose sum is σ = 984237433344. Its totient is φ = 46769633280.

The previous prime is 226188048211. The next prime is 226188048257. The reversal of 226188048240 is 42840881622.

226188048240 is a `hidden beast` number, since 2 + 2 + 618 + 8 + 0 + 4 + 8 + 24 + 0 = 666.

It is a super-2 number, since 2×226188048240² (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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 113262922 + ... + 113264918.

Almost surely, 2^226188048240 is an apocalyptic number.

226188048240 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 226188048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492118716672).

226188048240 is an abundant number, since it is smaller than the sum of its proper divisors (758049385104).

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

226188048240 is a wasteful number, since it uses less digits than its factorization.

226188048240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 226188048240 in words is "two hundred twenty-six billion, one hundred eighty-eight million, forty-eight thousand, two hundred forty".