2224219800 has 192 divisors, whose sum is σ = 7918243200. Its totient is φ = 510796800.

The previous prime is 2224219733. The next prime is 2224219817. The reversal of 2224219800 is 89124222.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 116532 + ... + 134268.

It is an arithmetic number, because the mean of its divisors is an integer number (41240850).

Almost surely, 2^2224219800 is an apocalyptic number.

2224219800 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 2224219800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959121600).

2224219800 is an abundant number, since it is smaller than the sum of its proper divisors (5694023400).

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

2224219800 is a wasteful number, since it uses less digits than its factorization.

2224219800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17786 (or 17777 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2224219800 is about 47161.6348317146. The cubic root of 2224219800 is about 1305.3467759165.

It can be divided in two parts, 222421 and 9800, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 2224219800 in words is "two billion, two hundred twenty-four million, two hundred nineteen thousand, eight hundred".