224234100 has 108 divisors (see below), whose sum is σ = 712686156. Its totient is φ = 58959360.

The previous prime is 224234099. The next prime is 224234137. The reversal of 224234100 is 1432422.

224234100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 218211984 = 2454^2 + 14772^2 .

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

It is a congruent number.

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, 63994 + ... + 67406.

Almost surely, 2^224234100 is an apocalyptic number.

224234100 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 224234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356343078).

224234100 is an abundant number, since it is smaller than the sum of its proper divisors (488452056).

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

224234100 is a wasteful number, since it uses less digits than its factorization.

224234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224234100 is about 14974.4482369134. The cubic root of 224234100 is about 607.5292878224.

Adding to 224234100 its reverse (1432422), we get a palindrome (225666522).

The spelling of 224234100 in words is "two hundred twenty-four million, two hundred thirty-four thousand, one hundred".