Search a number
-
+
2322052768 = 25722331267
BaseRepresentation
bin1000101001100111…
…1011011010100000
312222211100111120101
42022121323122200
514223421142033
61022225352144
7111354060100
oct21231733240
95884314511
102322052768
11a91813682
12549798654
132b00c6a29
1418056d200
15d8cca97d
hex8a67b6a0

2322052768 has 216 divisors, whose sum is σ = 5819488416. Its totient is φ = 907441920.

The previous prime is 2322052751. The next prime is 2322052769. The reversal of 2322052768 is 8672502232.

It is not an unprimeable number, because it can be changed into a prime (2322052769) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34657471 + ... + 34657537.

It is an arithmetic number, because the mean of its divisors is an integer number (26942076).

Almost surely, 22322052768 is an apocalyptic number.

2322052768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909744208).

2322052768 is an abundant number, since it is smaller than the sum of its proper divisors (3497435648).

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

2322052768 is a wasteful number, since it uses less digits than its factorization.

2322052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2322052768 is about 48187.6827415471. The cubic root of 2322052768 is about 1324.2115195875.

The spelling of 2322052768 in words is "two billion, three hundred twenty-two million, fifty-two thousand, seven hundred sixty-eight".