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2162226 = 23111812
BaseRepresentation
bin1000001111111000110010
311001212000110
420033320302
51023142401
6114202150
724243603
oct10177062
94055013
102162226
111247570
12883356
135a9231
14403daa
152ca9d6
hex20fe32

2162226 has 24 divisors (see below), whose sum is σ = 4743792. Its totient is φ = 651600.

The previous prime is 2162221. The next prime is 2162231. The reversal of 2162226 is 6222612.

2162226 = 62 + 72 + ... + 1862.

2162226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2162221) and next prime (2162231).

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

It is not an unprimeable number, because it can be changed into a prime (2162221) 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, 11856 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (197658).

22162226 is an apocalyptic number.

2162226 is an abundant number, since it is smaller than the sum of its proper divisors (2581566).

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

2162226 is a wasteful number, since it uses less digits than its factorization.

2162226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 197 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2162226 is about 1470.4509512391. The cubic root of 2162226 is about 129.3104714494.

Adding to 2162226 its reverse (6222612), we get a palindrome (8384838).

It can be divided in two parts, 216 and 2226, that added together give a palindrome (2442).

The spelling of 2162226 in words is "two million, one hundred sixty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 181 362 543 1086 1991 3982 5973 11946 32761 65522 98283 196566 360371 720742 1081113 2162226