224211400 has 96 divisors (see below), whose sum is σ = 627192000. Its totient is φ = 72817920.

The previous prime is 224211389. The next prime is 224211409. The reversal of 224211400 is 4112422.

224211400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224211409) 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, 22386 + ... + 30814.

It is an arithmetic number, because the mean of its divisors is an integer number (6533250).

Almost surely, 2^224211400 is an apocalyptic number.

224211400 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 224211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313596000).

224211400 is an abundant number, since it is smaller than the sum of its proper divisors (402980600).

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

224211400 is a wasteful number, since it uses less digits than its factorization.

224211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8471 (or 8462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 224211400 is about 14973.6902599192. The cubic root of 224211400 is about 607.5087863610.

Adding to 224211400 its reverse (4112422), we get a palindrome (228323822).

The spelling of 224211400 in words is "two hundred twenty-four million, two hundred eleven thousand, four hundred".