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2332000002332 = 22711213195352579
BaseRepresentation
bin100001111011110110000…
…010000010000100011100
322020221022002102102111202
4201323312002002010130
5301201414000033312
64543150033135032
7330324063651020
oct41736602020434
98227262372452
102332000002332
11819aa522a500
12317b5a0ba478
1313bba2c034b0
1480c258d6380
15409d9b789c2
hex21ef608211c

2332000002332 has 288 divisors, whose sum is σ = 5921231500800. Its totient is φ = 779534046720.

The previous prime is 2332000002331. The next prime is 2332000002347.

2332000002332 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332000002331) 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 95 ways as a sum of consecutive naturals, for example, 44326019 + ... + 44378597.

It is an arithmetic number, because the mean of its divisors is an integer number (20559831600).

Almost surely, 22332000002332 is an apocalyptic number.

2332000002332 is a gapful number since it is divisible by the number (22) 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 2332000002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960615750400).

2332000002332 is an abundant number, since it is smaller than the sum of its proper divisors (3589231498468).

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

2332000002332 is a wasteful number, since it uses less digits than its factorization.

2332000002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52697 (or 52684 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

It can be divided in two parts, 233200000 and 2332, that added together give a palindrome (233202332).

The spelling of 2332000002332 in words is "two trillion, three hundred thirty-two billion, two thousand, three hundred thirty-two".