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2333313104 = 241755715401
BaseRepresentation
bin1000101100010011…
…1000100001010000
320000121112120211212
42023010320201100
514234312004404
61023310555252
7111551556053
oct21304704120
96017476755
102333313104
11a98104741
12551508b28
132b253a155
14181c60a9a
15d9ca206e
hex8b138850

2333313104 has 40 divisors (see below), whose sum is σ = 4795628328. Its totient is φ = 1095987200.

The previous prime is 2333313097. The next prime is 2333313149. The reversal of 2333313104 is 4013133332.

It can be written as a sum of positive squares in 4 ways, for example, as 855679504 + 1477633600 = 29252^2 + 38440^2 .

It is a super-2 number, since 2×23333131042 = 10888700082596229632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2333313104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143804 + ... + 159204.

Almost surely, 22333313104 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 2333313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397814164).

2333313104 is an abundant number, since it is smaller than the sum of its proper divisors (2462315224).

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

2333313104 is a wasteful number, since it uses less digits than its factorization.

2333313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 2333313104 is about 48304.3797600176. The cubic root of 2333313104 is about 1326.3485695889.

Adding to 2333313104 its reverse (4013133332), we get a palindrome (6346446436).

The spelling of 2333313104 in words is "two billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 557 1114 2228 4456 8912 9469 15401 18938 30802 37876 61604 75752 123208 151504 246416 261817 523634 1047268 2094536 4189072 8578357 17156714 34313428 68626856 137253712 145832069 291664138 583328276 1166656552 2333313104