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2286725760 = 2732511217193
BaseRepresentation
bin1000100001001100…
…1010101010000000
312220100212201000200
42020103022222000
514140400211020
61014524245200
7110444563644
oct21023125200
95810781020
102286725760
11a73884a00
125399a0800
132a59a8187
141799b4c24
15d5b4d590
hex884caa80

2286725760 has 576 divisors, whose sum is σ = 9237632040. Its totient is φ = 519045120.

The previous prime is 2286725713. The next prime is 2286725801. The reversal of 2286725760 is 675276822.

2286725760 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 72 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1851753024 + 434972736 = 43032^2 + 20856^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22867257602 = 10458229402895155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11848224 + ... + 11848416.

Almost surely, 22286725760 is an apocalyptic number.

2286725760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618816020).

2286725760 is an abundant number, since it is smaller than the sum of its proper divisors (6950906280).

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

2286725760 is a wasteful number, since it uses less digits than its factorization.

2286725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2286725760 is about 47819.7214546467. The cubic root of 2286725760 is about 1317.4617891022.

It can be divided in two parts, 228672 and 5760, that added together give a palindrome (234432).

The spelling of 2286725760 in words is "two billion, two hundred eighty-six million, seven hundred twenty-five thousand, seven hundred sixty".