224214000 has 80 divisors (see below), whose sum is σ = 722885280. Its totient is φ = 59788800.

The previous prime is 224213989. The next prime is 224214007. The reversal of 224214000 is 412422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×224214000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224214007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12685 + ... + 24684.

It is an arithmetic number, because the mean of its divisors is an integer number (9036066).

Almost surely, 2^224214000 is an apocalyptic number.

224214000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224214000 is an abundant number, since it is smaller than the sum of its proper divisors (498671280).

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

224214000 is a wasteful number, since it uses less digits than its factorization.

224214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224214000 is about 14973.7770786131. Note that the first 3 decimals coincide. The cubic root of 224214000 is about 607.5111346162.

Adding to 224214000 its reverse (412422), we get a palindrome (224626422).

The spelling of 224214000 in words is "two hundred twenty-four million, two hundred fourteen thousand".