226221465600 has 840 divisors, whose sum is σ = 903353705100. Its totient is φ = 55632199680.

The previous prime is 226221465593. The next prime is 226221465607. The reversal of 226221465600 is 6564122622.

226221465600 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 2 + 1 + 46 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (226221465593) and next prime (226221465607).

It can be written as a sum of positive squares in 6 ways, for example, as 90750357504 + 135471108096 = 301248^2 + 368064^2 .

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

It is not an unprimeable number, because it can be changed into a prime (226221465607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215653876 + ... + 215654924.

Almost surely, 2^226221465600 is an apocalyptic number.

226221465600 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 226221465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451676852550).

226221465600 is an abundant number, since it is smaller than the sum of its proper divisors (677132239500).

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

226221465600 is a wasteful number, since it uses less digits than its factorization.

226221465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 226221465600 in words is "two hundred twenty-six billion, two hundred twenty-one million, four hundred sixty-five thousand, six hundred".