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22138535945 = 524133754517
BaseRepresentation
bin10100100111100011…
…110100000000001001
32010010212120011001202
4110213203310000021
5330314431122240
614100441353545
71412420310401
oct244743640011
963125504052
1022138535945
1194306987a9
12435a1988b5
13211a768b16
141100323801
15898896315
hex5278f4009

22138535945 has 16 divisors (see below), whose sum is σ = 26756125968. Its totient is φ = 17584680960.

The previous prime is 22138535941. The next prime is 22138535953. The reversal of 22138535945 is 54953583122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 773451721 + 21365084224 = 27811^2 + 146168^2 .

It is not a de Polignac number, because 22138535945 - 22 = 22138535941 is a prime.

It is a super-3 number, since 3×221385359453 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22138535945.

It is not an unprimeable number, because it can be changed into a prime (22138535941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378827 + ... + 433343.

It is an arithmetic number, because the mean of its divisors is an integer number (1672257873).

Almost surely, 222138535945 is an apocalyptic number.

It is an amenable number.

22138535945 is a deficient number, since it is larger than the sum of its proper divisors (4617590023).

22138535945 is a wasteful number, since it uses less digits than its factorization.

22138535945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55100.

The product of its digits is 1296000, while the sum is 47.

The spelling of 22138535945 in words is "twenty-two billion, one hundred thirty-eight million, five hundred thirty-five thousand, nine hundred forty-five".

Divisors: 1 5 241 337 1205 1685 54517 81217 272585 406085 13138597 18372229 65692985 91861145 4427707189 22138535945