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2331320404 = 227313138581
BaseRepresentation
bin1000101011110101…
…0010000001010100
320000110210100101011
42022331102001110
514233304223104
61023200142004
7111525616330
oct21275220124
96013710334
102331320404
11a96a73586
12550907904
132b1cc013a
141818a27c0
15d9a0b904
hex8af52054

2331320404 has 48 divisors (see below), whose sum is σ = 4828988416. Its totient is φ = 963705600.

The previous prime is 2331320401. The next prime is 2331320413. The reversal of 2331320404 is 4040231332.

It is a happy number.

It is a super-2 number, since 2×23313204042 = 10870109652213446432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331320401) by changing a digit.

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, 267394 + ... + 275974.

Almost surely, 22331320404 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 2331320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414494208).

2331320404 is an abundant number, since it is smaller than the sum of its proper divisors (2497668012).

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

2331320404 is a wasteful number, since it uses less digits than its factorization.

2331320404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2331320404 is about 48283.7488602532. The cubic root of 2331320404 is about 1325.9708852361.

Adding to 2331320404 its reverse (4040231332), we get a palindrome (6371551736).

The spelling of 2331320404 in words is "two billion, three hundred thirty-one million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 62 124 217 313 434 626 868 1252 2191 4382 8581 8764 9703 17162 19406 34324 38812 60067 67921 120134 135842 240268 266011 271684 532022 1064044 1862077 2685853 3724154 5371706 7448308 10743412 18800971 37601942 75203884 83261443 166522886 333045772 582830101 1165660202 2331320404