224023100 has 108 divisors (see below), whose sum is σ = 571447800. Its totient is φ = 76003200.

The previous prime is 224023097. The next prime is 224023133. The reversal of 224023100 is 1320422.

224023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224023100² = 100372698667220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 641726 + ... + 642074.

Almost surely, 2^224023100 is an apocalyptic number.

224023100 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 224023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285723900).

224023100 is an abundant number, since it is smaller than the sum of its proper divisors (347424700).

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

224023100 is a wasteful number, since it uses less digits than its factorization.

224023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 224023100 is about 14967.4012440370. The cubic root of 224023100 is about 607.3386702067.

Adding to 224023100 its reverse (1320422), we get a palindrome (225343522).

The spelling of 224023100 in words is "two hundred twenty-four million, twenty-three thousand, one hundred".