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22936000753 = 107089214177
BaseRepresentation
bin10101010111000101…
…111001100011110001
32012012110010120010101
4111113011321203301
5333433104011003
614311530032401
71441242534601
oct252705714361
965173116111
1022936000753
1197aa857926
124541278701
132216a41aa3
1411781ccc01
158e38bc11d
hex5571798f1

22936000753 has 4 divisors (see below), whose sum is σ = 22936322020. Its totient is φ = 22935679488.

The previous prime is 22936000741. The next prime is 22936000771. The reversal of 22936000753 is 35700063922.

22936000753 is a nontrivial binomial coefficient, being equal to C(214178, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 11166571584 + 11769429169 = 105672^2 + 108487^2 .

It is a 3-Lehmer number, since φ(22936000753) divides (22936000753-1)3.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22936000753 is a prime.

It is a super-3 number, since 3×229360007533 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22936000853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 214177.

It is an arithmetic number, because the mean of its divisors is an integer number (5734080505).

It is a Poulet number, since it divides 222936000752-1.

Almost surely, 222936000753 is an apocalyptic number.

22936000753 is the 214177-th triangular number and also the 107089-th hexagonal number.

22936000753 is the 71393-rd centered nonagonal number.

It is an amenable number.

22936000753 is a deficient number, since it is larger than the sum of its proper divisors (321267).

22936000753 is a wasteful number, since it uses less digits than its factorization.

22936000753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321266.

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 22936000753 in words is "twenty-two billion, nine hundred thirty-six million, seven hundred fifty-three", and thus it is an aban number.

Divisors: 1 107089 214177 22936000753