Search a number
-
+
22937082077 = 7135911933581
BaseRepresentation
bin10101010111001010…
…000001100011011101
32012012112011111102102
4111113022001203131
5333433343111302
614312005134445
71441254660260
oct252712014335
965175144372
1022937082077
119800426288
1245416ba425
132217030020
1411783d0cd7
158e3a32702
hex5572818dd

22937082077 has 32 divisors (see below), whose sum is σ = 28740821760. Its totient is φ = 17820495360.

The previous prime is 22937082067. The next prime is 22937082127. The reversal of 22937082077 is 77028073922.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22937082077 - 220 = 22936033501 is a prime.

It is a super-3 number, since 3×229370820773 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22937082037) 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 31 ways as a sum of consecutive naturals, for example, 6403427 + ... + 6407007.

It is an arithmetic number, because the mean of its divisors is an integer number (898150680).

Almost surely, 222937082077 is an apocalyptic number.

It is an amenable number.

22937082077 is a deficient number, since it is larger than the sum of its proper divisors (5803739683).

22937082077 is a wasteful number, since it uses less digits than its factorization.

22937082077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 592704, while the sum is 47.

The spelling of 22937082077 in words is "twenty-two billion, nine hundred thirty-seven million, eighty-two thousand, seventy-seven".

Divisors: 1 7 13 59 91 413 767 1193 3581 5369 8351 15509 25067 46553 70387 108563 211279 325871 492709 915031 1478953 2746627 4272133 6405217 19226389 29904931 55537729 252055847 388764103 1764390929 3276726011 22937082077