222014900 has 72 divisors (see below), whose sum is σ = 517388760. Its totient is φ = 82391040.

The previous prime is 222014899. The next prime is 222014909. The reversal of 222014900 is 9410222.

222014900 is digitally balanced in base 3, 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 12 ways, for example, as 1373584 + 220641316 = 1172^2 + 14854^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222014909) 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 23 ways as a sum of consecutive naturals, for example, 123206 + ... + 124994.

It is an arithmetic number, because the mean of its divisors is an integer number (7185955).

Almost surely, 2^222014900 is an apocalyptic number.

222014900 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 222014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258694380).

222014900 is an abundant number, since it is smaller than the sum of its proper divisors (295373860).

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

222014900 is a wasteful number, since it uses less digits than its factorization.

222014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 222014900 is about 14900.1644286229. The cubic root of 222014900 is about 605.5184409290.

It can be divided in two parts, 22201 and 4900, that multiplied together give a square (108784900 = 10430²).

The spelling of 222014900 in words is "two hundred twenty-two million, fourteen thousand, nine hundred".