Search a number
-
+
2195840868 = 2231319839883
BaseRepresentation
bin1000001011100001…
…1101111101100100
312200000212021101120
42002320131331210
513444113401433
61001520253540
7105262224264
oct20270357544
95600767346
102195840868
11a27549821
125134712b0
1328cc06530
1416b8b77a4
15ccb997b3
hex82e1df64

2195840868 has 96 divisors (see below), whose sum is σ = 5821670400. Its totient is φ = 638596224.

The previous prime is 2195840789. The next prime is 2195840873. The reversal of 2195840868 is 8680485912.

2195840868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2195840868.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2486355 + ... + 2487237.

It is an arithmetic number, because the mean of its divisors is an integer number (60642400).

Almost surely, 22195840868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195840868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910835200).

2195840868 is an abundant number, since it is smaller than the sum of its proper divisors (3625829532).

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

2195840868 is a wasteful number, since it uses less digits than its factorization.

2195840868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 2195840868 is about 46859.8001276147. The cubic root of 2195840868 is about 1299.7713341397.

It can be divided in two parts, 21958 and 40868, that added together give a palindrome (62826).

The spelling of 2195840868 in words is "two billion, one hundred ninety-five million, eight hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 839 883 988 1482 1678 1766 2517 2649 2964 3356 3532 5034 5298 10068 10596 10907 11479 15941 16777 21814 22958 31882 32721 33554 34437 43628 45916 47823 50331 63764 65442 67108 68874 95646 100662 130884 137748 191292 201324 207233 218101 414466 436202 621699 654303 740837 828932 872404 1243398 1308606 1481674 2222511 2486796 2617212 2963348 4445022 8890044 9630881 14075903 19261762 28151806 28892643 38523524 42227709 56303612 57785286 84455418 115570572 168910836 182986739 365973478 548960217 731946956 1097920434 2195840868