Search a number
-
+
2289275136 = 2834113977
BaseRepresentation
bin1000100001110011…
…1001000100000000
312220112200020010000
42020130321010000
514142023301021
61015055040000
7110505342351
oct21034710400
95815606100
102289275136
11a75266325
1253a810000
132a638b695
1417a079d28
15d5ea3b26
hex88739100

2289275136 has 180 divisors, whose sum is σ = 6893661852. Its totient is φ = 755564544.

The previous prime is 2289275129. The next prime is 2289275141. The reversal of 2289275136 is 6315729822.

It can be written as a sum of positive squares in 2 ways, for example, as 1003622400 + 1285652736 = 31680^2 + 35856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2289275091 and 2289275100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2342680 + ... + 2343656.

Almost surely, 22289275136 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 2289275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446830926).

2289275136 is an abundant number, since it is smaller than the sum of its proper divisors (4604386716).

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

2289275136 is an equidigital number, since it uses as much as digits as its factorization.

2289275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1095 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2289275136 is about 47846.3701444530. The cubic root of 2289275136 is about 1317.9512018303.

The spelling of 2289275136 in words is "two billion, two hundred eighty-nine million, two hundred seventy-five thousand, one hundred thirty-six".