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2260282864 = 247192346181
BaseRepresentation
bin1000011010111001…
…0010110111110000
312211112010021012011
42012232102313300
514112113022424
61012141412304
7110004041650
oct20656226760
95745107164
102260282864
11a5a963a74
12530b6a094
132a037a2a8
14176290360
15d3678694
hex86b92df0

2260282864 has 80 divisors (see below), whose sum is σ = 5497505280. Its totient is φ = 877789440.

The previous prime is 2260282793. The next prime is 2260282897. The reversal of 2260282864 is 4682820622.

2260282864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25854 + ... + 72034.

It is an arithmetic number, because the mean of its divisors is an integer number (68718816).

Almost surely, 22260282864 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 2260282864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748752640).

2260282864 is an abundant number, since it is smaller than the sum of its proper divisors (3237222416).

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

2260282864 is a wasteful number, since it uses less digits than its factorization.

2260282864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46238 (or 46232 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 2260282864 is about 47542.4322474145. The cubic root of 2260282864 is about 1312.3638658382.

The spelling of 2260282864 in words is "two billion, two hundred sixty million, two hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2128 2576 3059 3496 6118 6992 12236 24472 46181 48944 92362 184724 323267 369448 646534 738896 877439 1062163 1293068 1754878 2124326 2586136 3509756 4248652 5172272 6142073 7019512 7435141 8497304 12284146 14039024 14870282 16994608 20181097 24568292 29740564 40362194 49136584 59481128 80724388 98273168 118962256 141267679 161448776 282535358 322897552 565070716 1130141432 2260282864