Search a number
-
+
2331248089 = 5329112
BaseRepresentation
bin1000101011110100…
…0000010111011001
320000110122200011211
42022331000113121
514233244414324
61023154423121
7111525165442
oct21275002731
96013580154
102331248089
11a96a24215
12550891aa1
132b1c96251
141818842c9
15d99e5294
hex8af405d9

2331248089 has 9 divisors (see below), whose sum is σ = 2378674879. Its totient is φ = 2284751560.

The previous prime is 2331248039. The next prime is 2331248093. The reversal of 2331248089 is 9808421332.

The square root of 2331248089 is 48283.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1680590025 + 650658064 = 40995^2 + 25508^2 .

It is not a de Polignac number, because 2331248089 - 211 = 2331246041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2331248039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2558544 + ... + 2559454.

Almost surely, 22331248089 is an apocalyptic number.

2331248089 is the 48283-rd square number.

2331248089 is the 24142-nd centered octagonal number.

It is an amenable number.

2331248089 is a deficient number, since it is larger than the sum of its proper divisors (47426790).

2331248089 is an frugal number, since it uses more digits than its factorization.

2331248089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The cubic root of 2331248089 is about 1325.9571750405.

Multiplying 2331248089 by its product of nonzero digits (82944), we get a square (193363041494016 = 139055042).

The spelling of 2331248089 in words is "two billion, three hundred thirty-one million, two hundred forty-eight thousand, eighty-nine".

Divisors: 1 53 911 2809 48283 829921 2558999 43985813 2331248089