2292225480 has 160 divisors (see below), whose sum is σ = 7913066040. Its totient is φ = 594708480.

The previous prime is 2292225437. The next prime is 2292225503. The reversal of 2292225480 is 845222922.

2292225480 is a `hidden beast` number, since 2 + 2 + 92 + 22 + 548 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2290771044 + 1454436 = 47862^2 + 1206^2 .

It is a super-2 number, since 2×2292225480² = 10508595302322460800, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 110320 + ... + 129440.

Almost surely, 2^2292225480 is an apocalyptic number.

2292225480 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 2292225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956533020).

2292225480 is an abundant number, since it is smaller than the sum of its proper divisors (5620840560).

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

2292225480 is a wasteful number, since it uses less digits than its factorization.

2292225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2292225480 is about 47877.1916469628. The cubic root of 2292225480 is about 1318.5171364552.

The spelling of 2292225480 in words is "two billion, two hundred ninety-two million, two hundred twenty-five thousand, four hundred eighty".