Search a number
-
+
2280653564 = 2271722721107
BaseRepresentation
bin1000011111110000…
…0000001011111100
312212221110012112112
42013330000023330
514132321403224
61014150153152
7110342143520
oct20774001374
95787405475
102280653564
11a70407862
125379527b8
132a4660367
14178c73d80
15d534e30e
hex87f002fc

2280653564 has 48 divisors (see below), whose sum is σ = 4851124992. Its totient is φ = 915831552.

The previous prime is 2280653563. The next prime is 2280653587. The reversal of 2280653564 is 4653560822.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280653561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97499 + ... + 118605.

It is an arithmetic number, because the mean of its divisors is an integer number (101065104).

Almost surely, 22280653564 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 2280653564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425562496).

2280653564 is an abundant number, since it is smaller than the sum of its proper divisors (2570471428).

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

2280653564 is a wasteful number, since it uses less digits than its factorization.

2280653564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21362 (or 21360 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 2280653564 is about 47756.1887507787. The cubic root of 2280653564 is about 1316.2946213544.

The spelling of 2280653564 in words is "two billion, two hundred eighty million, six hundred fifty-three thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 227 238 454 476 908 1589 3178 3859 6356 7718 15436 21107 27013 42214 54026 84428 108052 147749 295498 358819 590996 717638 1435276 2511733 4791289 5023466 9582578 10046932 19165156 33539023 67078046 81451913 134156092 162903826 325807652 570163391 1140326782 2280653564