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2260279116 = 2232612833637
BaseRepresentation
bin1000011010111001…
…0001111101001100
312211112010002001100
42012232101331030
514112112412431
61012141343100
7110004025014
oct20656217514
95745102040
102260279116
11a5a961177
12530b67a90
132a0378684
1417628cc44
15d36774e6
hex86b91f4c

2260279116 has 72 divisors (see below), whose sum is σ = 5829269264. Its totient is φ = 738253440.

The previous prime is 2260279067. The next prime is 2260279117. The reversal of 2260279116 is 6119720622.

2260279116 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 Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2260279117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619650 + ... + 623286.

Almost surely, 22260279116 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 2260279116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914634632).

2260279116 is an abundant number, since it is smaller than the sum of its proper divisors (3568990148).

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

2260279116 is a wasteful number, since it uses less digits than its factorization.

2260279116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2260279116 is about 47542.3928299786. The cubic root of 2260279116 is about 1312.3631404507.

Adding to 2260279116 its reverse (6119720622), we get a palindrome (8379999738).

The spelling of 2260279116 in words is "two billion, two hundred sixty million, two hundred seventy-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 283 366 549 566 732 849 1098 1132 1698 2196 2547 3396 3637 5094 7274 10188 10911 14548 17263 21822 32733 34526 43644 51789 65466 69052 103578 130932 155367 207156 221857 310734 443714 621468 665571 887428 1029271 1331142 1996713 2058542 2662284 3087813 3993426 4117084 6175626 7986852 9263439 12351252 18526878 37053756 62785531 125571062 188356593 251142124 376713186 565069779 753426372 1130139558 2260279116