224122000 has 40 divisors (see below), whose sum is σ = 541931832. Its totient is φ = 89648000.

The previous prime is 224121893. The next prime is 224122009. The reversal of 224122000 is 221422.

224122000 is digitally balanced in base 2, 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 4 ways, for example, as 200704 + 223921296 = 448^2 + 14964^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (224122009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54031 + ... + 58030.

Almost surely, 2^224122000 is an apocalyptic number.

224122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224122000 is an abundant number, since it is smaller than the sum of its proper divisors (317809832).

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

224122000 is a wasteful number, since it uses less digits than its factorization.

224122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112084 (or 112068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 224122000 is about 14970.7047262312. The cubic root of 224122000 is about 607.4280314638.

Adding to 224122000 its reverse (221422), we get a palindrome (224343422).

The spelling of 224122000 in words is "two hundred twenty-four million, one hundred twenty-two thousand".