224220100 has 72 divisors (see below), whose sum is σ = 546840000. Its totient is φ = 79178880.

The previous prime is 224220071. The next prime is 224220107. The reversal of 224220100 is 1022422.

It is a super-3 number, since 3×224220100³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (224220107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26151 + ... + 33649.

It is an arithmetic number, because the mean of its divisors is an integer number (7595000).

Almost surely, 2^224220100 is an apocalyptic number.

224220100 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 224220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420000).

224220100 is an abundant number, since it is smaller than the sum of its proper divisors (322619900).

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

224220100 is a wasteful number, since it uses less digits than its factorization.

224220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549 (or 7542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 224220100 is about 14973.9807666499. The cubic root of 224220100 is about 607.5166439128.

Adding to 224220100 its reverse (1022422), we get a palindrome (225242522).

The spelling of 224220100 in words is "two hundred twenty-four million, two hundred twenty thousand, one hundred".