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22312053 = 322479117
BaseRepresentation
bin101010100011…
…1010001110101
31112222120101100
41111013101311
521202441203
62114120313
7360435501
oct125072165
945876340
1022312053
111165a415
127580099
1348128ca
142d6b301
151e5aea3
hex1547475

22312053 has 6 divisors (see below), whose sum is σ = 32228534. Its totient is φ = 14874696.

The previous prime is 22312019. The next prime is 22312063. The reversal of 22312053 is 35021322.

It can be written as a sum of positive squares in only one way, i.e., 20007729 + 2304324 = 4473^2 + 1518^2 .

It is not a de Polignac number, because 22312053 - 213 = 22303861 is a prime.

It is a super-3 number, since 3×223120533 (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 (22312063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1239550 + ... + 1239567.

Almost surely, 222312053 is an apocalyptic number.

It is an amenable number.

22312053 is a deficient number, since it is larger than the sum of its proper divisors (9916481).

22312053 is a wasteful number, since it uses less digits than its factorization.

22312053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479123 (or 2479120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22312053 is about 4723.5635911883. The cubic root of 22312053 is about 281.5225435118.

Adding to 22312053 its reverse (35021322), we get a palindrome (57333375).

The spelling of 22312053 in words is "twenty-two million, three hundred twelve thousand, fifty-three".

Divisors: 1 3 9 2479117 7437351 22312053