Search a number
-
+
2322032664 = 2337132110463
BaseRepresentation
bin1000101001100111…
…0110100000011000
312222211022110222210
42022121312200120
514223420021124
61022225115120
7111353644350
oct21231664030
95884273883
102322032664
11a917aa566
12549788aa0
132b00ba833
14180565b60
15d8cc4a29
hex8a676818

2322032664 has 64 divisors (see below), whose sum is σ = 6640035840. Its totient is φ = 662872320.

The previous prime is 2322032653. The next prime is 2322032677. The reversal of 2322032664 is 4662302232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216697 + ... + 227159.

It is an arithmetic number, because the mean of its divisors is an integer number (103750560).

Almost surely, 22322032664 is an apocalyptic number.

2322032664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2322032664 is an abundant number, since it is smaller than the sum of its proper divisors (4318003176).

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

2322032664 is a wasteful number, since it uses less digits than its factorization.

2322032664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11800 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2322032664 is about 48187.4741400709. The cubic root of 2322032664 is about 1324.2076979653.

Adding to 2322032664 its reverse (4662302232), we get a palindrome (6984334896).

The spelling of 2322032664 in words is "two billion, three hundred twenty-two million, thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1321 2642 3963 5284 7926 9247 10463 10568 15852 18494 20926 27741 31389 31704 36988 41852 55482 62778 73241 73976 83704 110964 125556 146482 219723 221928 251112 292964 439446 585928 878892 1757784 13821623 27643246 41464869 55286492 82929738 96751361 110572984 165859476 193502722 290254083 331718952 387005444 580508166 774010888 1161016332 2322032664