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2222900 = 225222229
BaseRepresentation
bin1000011110101100110100
311011221020122
420132230310
51032113100
6115351112
724615521
oct10365464
94157218
102222900
111289109
128b2498
135caa34
1441c148
152dd985
hex21eb34

2222900 has 18 divisors (see below), whose sum is σ = 4823910. Its totient is φ = 889120.

The previous prime is 2222893. The next prime is 2222911. The reversal of 2222900 is 92222.

It is a happy number.

2222900 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 3 ways, for example, as 38416 + 2184484 = 196^2 + 1478^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 11015 + ... + 11214.

It is an arithmetic number, because the mean of its divisors is an integer number (267995).

22222900 is an apocalyptic number.

2222900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222900 is an abundant number, since it is smaller than the sum of its proper divisors (2601010).

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

2222900 is a wasteful number, since it uses less digits than its factorization.

2222900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22243 (or 22236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2222900 is about 1490.9393012460. The cubic root of 2222900 is about 130.5088537418.

It can be divided in two parts, 22 and 22900, that added together give a palindrome (22922).

The spelling of 2222900 in words is "two million, two hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22229 44458 88916 111145 222290 444580 555725 1111450 2222900