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2226222 = 232337367
BaseRepresentation
bin1000011111100000101110
311012002210200
420133200232
51032214342
6115414330
724631305
oct10374056
94162720
102226222
111290659
128b43a6
135cc3bb
1441d43c
152de94c
hex21f82e

2226222 has 24 divisors (see below), whose sum is σ = 4850976. Its totient is φ = 737856.

The previous prime is 2226221. The next prime is 2226227.

2226222 is nontrivially palindromic in base 10.

2226222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2226195 and 2226204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226221) by changing a digit.

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, 5883 + ... + 6249.

It is an arithmetic number, because the mean of its divisors is an integer number (202124).

22226222 is an apocalyptic number.

2226222 is an abundant number, since it is smaller than the sum of its proper divisors (2624754).

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

2226222 is a wasteful number, since it uses less digits than its factorization.

2226222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 709 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2226222 is about 1492.0529481222. The cubic root of 2226222 is about 130.5738341157.

It can be divided in two parts, 22 and 26222, that added together give a square (26244 = 1622).

The spelling of 2226222 in words is "two million, two hundred twenty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 337 367 674 734 1011 1101 2022 2202 3033 3303 6066 6606 123679 247358 371037 742074 1113111 2226222