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2289718201 = 10924392
BaseRepresentation
bin1000100001111010…
…0101001110111001
312220120111201212211
42020132211032321
514142131440301
61015112335121
7110512166161
oct21036451671
95816451784
102289718201
11a755391a1
1253a9a44a1
132a64b5254
1417a1535a1
15d6040051
hex887a53b9

2289718201 has 9 divisors (see below), whose sum is σ = 2316193551. Its totient is φ = 2263543704.

The previous prime is 2289718199. The next prime is 2289718273. The reversal of 2289718201 is 1028179822.

The square root of 2289718201 is 47851.

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

2289718201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1595922601 + 693795600 = 39949^2 + 26340^2 .

It is not a de Polignac number, because 2289718201 - 21 = 2289718199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2289718601) 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, 5215540 + ... + 5215978.

It is an arithmetic number, because the mean of its divisors is an integer number (257354839).

Almost surely, 22289718201 is an apocalyptic number.

2289718201 is the 47851-st square number.

2289718201 is the 23926-th centered octagonal number.

It is an amenable number.

2289718201 is a deficient number, since it is larger than the sum of its proper divisors (26475350).

2289718201 is an frugal number, since it uses more digits than its factorization.

2289718201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The cubic root of 2289718201 is about 1318.0362215195.

The spelling of 2289718201 in words is "two billion, two hundred eighty-nine million, seven hundred eighteen thousand, two hundred one".

Divisors: 1 109 439 11881 47851 192721 5215759 21006589 2289718201