2228422820 has 96 divisors (see below), whose sum is σ = 5151994848. Its totient is φ = 804667392.

The previous prime is 2228422799. The next prime is 2228422871. The reversal of 2228422820 is 282248222.

It can be written as a sum of positive squares in 16 ways, for example, as 227828836 + 2000593984 = 15094^2 + 44728^2 .

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 31 ways as a sum of consecutive naturals, for example, 2599832 + ... + 2600688.

It is an arithmetic number, because the mean of its divisors is an integer number (53666613).

Almost surely, 2^2228422820 is an apocalyptic number.

2228422820 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 2228422820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575997424).

2228422820 is an abundant number, since it is smaller than the sum of its proper divisors (2923572028).

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

2228422820 is a wasteful number, since it uses less digits than its factorization.

2228422820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 2228422820 is about 47206.1735369432. The cubic root of 2228422820 is about 1306.1684792421.

Subtracting from 2228422820 its product of nonzero digits (16384), we obtain a square (2228406436 = 47206²).

The spelling of 2228422820 in words is "two billion, two hundred twenty-eight million, four hundred twenty-two thousand, eight hundred twenty".