2224469200 has 60 divisors (see below), whose sum is σ = 5357747980. Its totient is φ = 887546880.

The previous prime is 2224469197. The next prime is 2224469231. The reversal of 2224469200 is 29644222.

It can be written as a sum of positive squares in 6 ways, for example, as 42458256 + 2182010944 = 6516^2 + 46712^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 156802 + ... + 170398.

Almost surely, 2^2224469200 is an apocalyptic number.

2224469200 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 2224469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678873990).

2224469200 is an abundant number, since it is smaller than the sum of its proper divisors (3133278780).

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

2224469200 is a wasteful number, since it uses less digits than its factorization.

2224469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024 (or 14013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2224469200 is about 47164.2788559308. The cubic root of 2224469200 is about 1305.3955632589.

The spelling of 2224469200 in words is "two billion, two hundred twenty-four million, four hundred sixty-nine thousand, two hundred".