Search a number
-
+
2206169716072 = 23782163237589
BaseRepresentation
bin100000000110101001111…
…101100101010101101000
321210220111202112120211011
4200012221331211111220
5242121213421403242
64405300025313304
7315250641114340
oct40065175452550
97726452476734
102206169716072
117806a4320a93
122b76a1935834
1313006bb622ca
1478aca11bd20
153c5c2e10d17
hex201a9f65568

2206169716072 has 64 divisors (see below), whose sum is σ = 4734637142400. Its totient is φ = 944075892480.

The previous prime is 2206169715991. The next prime is 2206169716109. The reversal of 2206169716072 is 2706179616022.

It is a happy number.

It is a super-2 number, since 2×22061697160722 (a number of 25 digits) contains 22 as substring.

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, 290702454 + ... + 290710042.

It is an arithmetic number, because the mean of its divisors is an integer number (73978705350).

Almost surely, 22206169716072 is an apocalyptic number.

It is an amenable number.

2206169716072 is an abundant number, since it is smaller than the sum of its proper divisors (2528467426328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2206169716072 is a wasteful number, since it uses less digits than its factorization.

2206169716072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The spelling of 2206169716072 in words is "two trillion, two hundred six billion, one hundred sixty-nine million, seven hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 821 1642 3284 5747 6323 6568 7589 11494 12646 15178 22988 25292 30356 44261 45976 50584 53123 60712 88522 106246 177044 212492 354088 424984 5191183 6230569 10382366 12461138 20764732 24922276 36338281 41529464 43613983 47985247 49844552 72676562 87227966 95970494 145353124 174455932 191940988 290706248 335896729 348911864 383881976 671793458 1343586916 2687173832 39395887787 78791775574 157583551148 275771214509 315167102296 551542429018 1103084858036 2206169716072