Search a number
-
+
2132315329 = 6127572
BaseRepresentation
bin111111100011000…
…1000110011000001
312111121022211201211
41333012020303001
513331333042304
6551330530121
7103561244524
oct17706106301
95447284654
102132315329
119a4700081
124b6136941
1327c9c3961
1416329cbbb
15c72ec204
hex7f188cc1

2132315329 has 9 divisors (see below), whose sum is σ = 2170711881. Its totient is φ = 2094588720.

The previous prime is 2132315279. The next prime is 2132315357. The reversal of 2132315329 is 9235132312.

The square root of 2132315329 is 46177.

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

It can be written as a sum of positive squares in 4 ways, for example, as 463756225 + 1668559104 = 21535^2 + 40848^2 .

It is not a de Polignac number, because 2132315329 - 29 = 2132314817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2132315329.

It is not an unprimeable number, because it can be changed into a prime (2132315359) 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, 2816419 + ... + 2817175.

It is an arithmetic number, because the mean of its divisors is an integer number (241190209).

Almost surely, 22132315329 is an apocalyptic number.

2132315329 is the 46177-th square number.

2132315329 is the 23089-th centered octagonal number.

It is an amenable number.

2132315329 is a deficient number, since it is larger than the sum of its proper divisors (38396552).

2132315329 is an frugal number, since it uses more digits than its factorization.

2132315329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 818 counting only the distinct ones).

The product of its digits is 9720, while the sum is 31.

The cubic root of 2132315329 is about 1287.1143818163.

The spelling of 2132315329 in words is "two billion, one hundred thirty-two million, three hundred fifteen thousand, three hundred twenty-nine".

Divisors: 1 61 757 3721 46177 573049 2816797 34955989 2132315329