224100 has 72 divisors (see below), whose sum is σ = 729120. Its totient is φ = 59040.

The previous prime is 224071. The next prime is 224101. The reversal of 224100 is 1422.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224101) by changing a digit.

224100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2659 + ... + 2741.

2²²⁴¹⁰⁰ is an apocalyptic number.

224100 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 224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364560).

224100 is an abundant number, since it is smaller than the sum of its proper divisors (505020).

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

224100 is a wasteful number, since it uses less digits than its factorization.

224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 224100 is about 473.3920151418. The cubic root of 224100 is about 60.7408155602.

Adding to 224100 its reverse (1422), we get a palindrome (225522).

It can be divided in two parts, 224 and 100, that added together give a square (324 = 18²).

The spelling of 224100 in words is "two hundred twenty-four thousand, one hundred", and thus it is an iban number.