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2331341792 = 251310155487
BaseRepresentation
bin1000101011110101…
…0111001111100000
320000110211102201022
42022331113033200
514233310414132
61023200425012
7111526035563
oct21275271740
96013742638
102331341792
11a96a8865a
12550918168
132b1cc9ab0
141818aa4da
15d9a12e12
hex8af573e0

2331341792 has 48 divisors (see below), whose sum is σ = 4991922432. Its totient is φ = 1065331200.

The previous prime is 2331341791. The next prime is 2331341807. The reversal of 2331341792 is 2971431332.

It is a super-2 number, since 2×23313417922 = 10870309102251542528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331341791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14273 + ... + 69759.

It is an arithmetic number, because the mean of its divisors is an integer number (103998384).

Almost surely, 22331341792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331341792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495961216).

2331341792 is an abundant number, since it is smaller than the sum of its proper divisors (2660580640).

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

2331341792 is a wasteful number, since it uses less digits than its factorization.

2331341792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55611 (or 55603 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 2331341792 is about 48283.9703421332. The cubic root of 2331341792 is about 1325.9749401311.

The spelling of 2331341792 in words is "two billion, three hundred thirty-one million, three hundred forty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 3232 5252 10504 21008 42016 55487 110974 221948 443896 721331 887792 1442662 1775584 2885324 5604187 5770648 11208374 11541296 22416748 23082592 44833496 72854431 89666992 145708862 179333984 291417724 582835448 1165670896 2331341792