2221826000 has 40 divisors (see below), whose sum is σ = 5372380104. Its totient is φ = 888729600.

The previous prime is 2221825961. The next prime is 2221826023. The reversal of 2221826000 is 6281222.

2221826000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112444816 + 2109381184 = 10604^2 + 45928^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553457 + ... + 557456.

Almost surely, 2^2221826000 is an apocalyptic number.

2221826000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221826000 is an abundant number, since it is smaller than the sum of its proper divisors (3150554104).

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

2221826000 is a wasteful number, since it uses less digits than its factorization.

2221826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110936 (or 1110920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2221826000 is about 47136.2493204540. The cubic root of 2221826000 is about 1304.8783179018.

The spelling of 2221826000 in words is "two billion, two hundred twenty-one million, eight hundred twenty-six thousand".