2221800 has 144 divisors (see below), whose sum is σ = 8228640. Its totient is φ = 485760.

The previous prime is 2221789. The next prime is 2221829. The reversal of 2221800 is 81222.

2221800 = T₇₉ + T₈₀ + ... + T₂₃₉.

2221800 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2221800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96589 + ... + 96611.

2^2221800 is an apocalyptic number.

2221800 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 2221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114320).

2221800 is an abundant number, since it is smaller than the sum of its proper divisors (6006840).

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

2221800 is a wasteful number, since it uses less digits than its factorization.

2221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2221800 is about 1490.5703606338. The cubic root of 2221800 is about 130.4873227949.

The spelling of 2221800 in words is "two million, two hundred twenty-one thousand, eight hundred".