44224200 has 144 divisors (see below), whose sum is σ = 150883200. Its totient is φ = 11606400.

The previous prime is 44224171. The next prime is 44224211. The reversal of 44224200 is 242244.

44224200 is a `hidden beast` number, since 442 + 24 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142045 + ... + 142355.

It is an arithmetic number, because the mean of its divisors is an integer number (1047800).

Almost surely, 2^44224200 is an apocalyptic number.

44224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44224200 is the 3555-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

44224200 is an abundant number, since it is smaller than the sum of its proper divisors (106659000).

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

44224200 is a wasteful number, since it uses less digits than its factorization.

44224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 44224200 is about 6650.1278183205. The cubic root of 44224200 is about 353.6334422688.

Adding to 44224200 its reverse (242244), we get a palindrome (44466444).

It can be divided in two parts, 442 and 24200, that added together give a palindrome (24642).

The spelling of 44224200 in words is "forty-four million, two hundred twenty-four thousand, two hundred".