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22120133 = 753109547
BaseRepresentation
bin101010001100…
…0011011000101
31112121211010012
41110120123011
521130321013
62110040005
7356006120
oct124303305
945554105
1022120133
1111539202
1274a9005
134776449
142d1b3b7
151e1e1a8
hex15186c5

22120133 has 16 divisors (see below), whose sum is σ = 26040960. Its totient is φ = 18398016.

The previous prime is 22120099. The next prime is 22120151. The reversal of 22120133 is 33102122.

It is a happy number.

It is not a de Polignac number, because 22120133 - 210 = 22119109 is a prime.

It is a super-3 number, since 3×221201333 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120183) 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 15 ways as a sum of consecutive naturals, for example, 40166 + ... + 40712.

It is an arithmetic number, because the mean of its divisors is an integer number (1627560).

Almost surely, 222120133 is an apocalyptic number.

It is an amenable number.

22120133 is a deficient number, since it is larger than the sum of its proper divisors (3920827).

22120133 is a wasteful number, since it uses less digits than its factorization.

22120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 22120133 is about 4703.2045458389. The cubic root of 22120133 is about 280.7130338731.

Adding to 22120133 its reverse (33102122), we get a palindrome (55222255).

The spelling of 22120133 in words is "twenty-two million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 7 53 109 371 547 763 3829 5777 28991 40439 59623 202937 417361 3160019 22120133