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221839116005 = 51317200759381
BaseRepresentation
bin1100111010011010100…
…1000100011011100101
3210012121100102201121202
43032212221010123211
512113311303203010
6245524514052245
722012244242103
oct3164651043345
9705540381552
10221839116005
1186099441301
1236bb157a085
1317bc4a31220
14aa46742c73
155b858c36a5
hex33a6a446e5

221839116005 has 16 divisors (see below), whose sum is σ = 303548185584. Its totient is φ = 154183203840.

The previous prime is 221839115999. The next prime is 221839116049. The reversal of 221839116005 is 500611938122.

It is a happy number.

221839116005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4709982+1.

It can be written as a sum of positive squares in 8 ways, for example, as 5188897156 + 216650218849 = 72034^2 + 465457^2 .

It is not a de Polignac number, because 221839116005 - 212 = 221839111909 is a prime.

It is a super-3 number, since 3×2218391160053 (a number of 35 digits) contains 333 as substring.

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 221839116005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 100378586 + ... + 100380795.

It is an arithmetic number, because the mean of its divisors is an integer number (18971761599).

Almost surely, 2221839116005 is an apocalyptic number.

It is an amenable number.

221839116005 is a deficient number, since it is larger than the sum of its proper divisors (81709069579).

221839116005 is a wasteful number, since it uses less digits than its factorization.

221839116005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200759416.

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 221839116005 in words is "two hundred twenty-one billion, eight hundred thirty-nine million, one hundred sixteen thousand, five".

Divisors: 1 5 13 17 65 85 221 1105 200759381 1003796905 2609871953 3412909477 13049359765 17064547385 44367823201 221839116005