2225190242 has 48 divisors (see below), whose sum is σ = 3811200120. Its totient is φ = 972491520.

The previous prime is 2225190217. The next prime is 2225190277. The reversal of 2225190242 is 2420915222.

It can be written as a sum of positive squares in 4 ways, for example, as 451180081 + 1774010161 = 21241^2 + 42119^2 .

It is a super-2 number, since 2×2225190242² = 9902943226184037128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196128 + ... + 2197140.

Almost surely, 2^2225190242 is an apocalyptic number.

2225190242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2225190242 is a deficient number, since it is larger than the sum of its proper divisors (1586009878).

2225190242 is a wasteful number, since it uses less digits than its factorization.

2225190242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2225190242 is about 47171.9221783467. The cubic root of 2225190242 is about 1305.5365921610.

The spelling of 2225190242 in words is "two billion, two hundred twenty-five million, one hundred ninety thousand, two hundred forty-two".