Search a number
-
+
2283872864 = 257131315987
BaseRepresentation
bin1000100000100001…
…0010001001100000
312220011111202120212
42020020102021200
514134132412424
61014343153252
7110411412320
oct21010221140
95804452525
102283872864
11a72206539
12538a45828
132a5219780
14179471280
15d578810e
hex88212260

2283872864 has 96 divisors (see below), whose sum is σ = 5577175296. Its totient is φ = 896463360.

The previous prime is 2283872819. The next prime is 2283872881. The reversal of 2283872864 is 4682783822.

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, 378479 + ... + 384465.

It is an arithmetic number, because the mean of its divisors is an integer number (58095576).

Almost surely, 22283872864 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 2283872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788587648).

2283872864 is an abundant number, since it is smaller than the sum of its proper divisors (3293302432).

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

2283872864 is a wasteful number, since it uses less digits than its factorization.

2283872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6140 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 50.

The square root of 2283872864 is about 47789.8824438814. The cubic root of 2283872864 is about 1316.9136770848.

The spelling of 2283872864 in words is "two billion, two hundred eighty-three million, eight hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 131 182 208 224 262 364 416 524 728 917 1048 1456 1703 1834 2096 2912 3406 3668 4192 5987 6812 7336 11921 11974 13624 14672 23842 23948 27248 29344 41909 47684 47896 54496 77831 83818 95368 95792 155662 167636 190736 191584 311324 335272 381472 544817 622648 670544 784297 1089634 1245296 1341088 1568594 2179268 2490592 3137188 4358536 5490079 6274376 8717072 10195861 10980158 12548752 17434144 20391722 21960316 25097504 40783444 43920632 71371027 81566888 87841264 142742054 163133776 175682528 285484108 326267552 570968216 1141936432 2283872864