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22133122 = 2115211931
BaseRepresentation
bin101010001101…
…1100110000010
31112122110221021
41110123212002
521131224442
62110220054
7356062024
oct124334602
945573837
1022133122
1111547a40
1274b462a
13477c32b
142d22014
151e22e67
hex151b982

22133122 has 16 divisors (see below), whose sum is σ = 36306144. Its totient is φ = 10036000.

The previous prime is 22133113. The next prime is 22133129.

22133122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22133096 and 22133105.

It is not an unprimeable number, because it can be changed into a prime (22133129) 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 7 ways as a sum of consecutive naturals, for example, 10497 + ... + 12427.

It is an arithmetic number, because the mean of its divisors is an integer number (2269134).

Almost surely, 222133122 is an apocalyptic number.

22133122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22133122 is a deficient number, since it is larger than the sum of its proper divisors (14173022).

22133122 is a wasteful number, since it uses less digits than its factorization.

22133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465.

The product of its digits is 144, while the sum is 16.

The square root of 22133122 is about 4704.5852101965. The cubic root of 22133122 is about 280.7679682647.

It can be divided in two parts, 2213 and 3122, that added together give a palindrome (5335).

The spelling of 22133122 in words is "twenty-two million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 11 22 521 1042 1931 3862 5731 11462 21241 42482 1006051 2012102 11066561 22133122