224011400 has 48 divisors (see below), whose sum is σ = 531930240. Its totient is φ = 87694400.

The previous prime is 224011393. The next prime is 224011481. The reversal of 224011400 is 4110422.

It is a super-2 number, since 2×224011400² = 100362214659920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2516 + ... + 21315.

It is an arithmetic number, because the mean of its divisors is an integer number (11081880).

Almost surely, 2^224011400 is an apocalyptic number.

224011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224011400 is an abundant number, since it is smaller than the sum of its proper divisors (307918840).

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

224011400 is a wasteful number, since it uses less digits than its factorization.

224011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894 (or 23885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 224011400 is about 14967.0103895200. The cubic root of 224011400 is about 607.3280969129.

Adding to 224011400 its reverse (4110422), we get a palindrome (228121822).

The spelling of 224011400 in words is "two hundred twenty-four million, eleven thousand, four hundred".