2248224100 has 18 divisors (see below), whose sum is σ = 4878646514. Its totient is φ = 899289600.

The previous prime is 2248224091. The next prime is 2248224131. The reversal of 2248224100 is 14228422.

It can be written as a sum of positive squares in 3 ways, for example, as 754710784 + 1493513316 = 27472^2 + 38646^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 11241021 + ... + 11241220.

Almost surely, 2^2248224100 is an apocalyptic number.

2248224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248224100 is an abundant number, since it is smaller than the sum of its proper divisors (2630422414).

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

2248224100 is a wasteful number, since it uses less digits than its factorization.

2248224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22482255 (or 22482248 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 2248224100 is about 47415.4415776127. The cubic root of 2248224100 is about 1310.0258526841.

The spelling of 2248224100 in words is "two billion, two hundred forty-eight million, two hundred twenty-four thousand, one hundred".