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22080088041 = 3111076253211
BaseRepresentation
bin10100100100000100…
…110110011111101001
32002222210120200121120
4110210010312133221
5330210000304131
614050552525453
71411110436344
oct244404663751
962883520546
1022080088041
1194006a7a50
1243426b0889
13210b61346b
1410d666b45b
1589369d496
hex5241367e9

22080088041 has 16 divisors (see below), whose sum is σ = 32416651008. Its totient is φ = 13256805200.

The previous prime is 22080088027. The next prime is 22080088057. The reversal of 22080088041 is 14088008022.

It is a cyclic number.

It is not a de Polignac number, because 22080088041 - 29 = 22080087529 is a prime.

It is a super-2 number, since 2×220800880412 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22080087993 and 22080088011.

It is not an unprimeable number, because it can be changed into a prime (22080088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3123075 + ... + 3130136.

It is an arithmetic number, because the mean of its divisors is an integer number (2026040688).

Almost surely, 222080088041 is an apocalyptic number.

It is an amenable number.

22080088041 is a deficient number, since it is larger than the sum of its proper divisors (10336562967).

22080088041 is a wasteful number, since it uses less digits than its factorization.

22080088041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253332.

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 22080088041 in words is "twenty-two billion, eighty million, eighty-eight thousand, forty-one".

Divisors: 1 3 11 33 107 321 1177 3531 6253211 18759633 68785321 206355963 669093577 2007280731 7360029347 22080088041