2242248192 has 120 divisors (see below), whose sum is σ = 6492039840. Its totient is φ = 745021440.

The previous prime is 2242248191. The next prime is 2242248193. The reversal of 2242248192 is 2918422422.

2242248192 is a `hidden beast` number, since 2 + 2 + 422 + 48 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (2242248191) and next prime (2242248193).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242248191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1985484 + ... + 1986612.

It is an arithmetic number, because the mean of its divisors is an integer number (54100332).

Almost surely, 2^2242248192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246019920).

2242248192 is an abundant number, since it is smaller than the sum of its proper divisors (4249791648).

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

2242248192 is a wasteful number, since it uses less digits than its factorization.

2242248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2242248192 is about 47352.3831712829. The cubic root of 2242248192 is about 1308.8641149199.

The spelling of 2242248192 in words is "two billion, two hundred forty-two million, two hundred forty-eight thousand, one hundred ninety-two".