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2343222130304 = 271114711131353
BaseRepresentation
bin100010000110010010111…
…011000011011010000000
322022000021011211121001002
4202012102323003122000
5301342404331132204
64552243354231132
7331202141322206
oct42062273033200
98260234747032
102343222130304
11823833894330
1231a1704254a8
1313cc70b61cc3
14815ac0a9076
1540e44e9391e
hex22192ec3680

2343222130304 has 64 divisors (see below), whose sum is σ = 5095980449280. Its totient is φ = 1064375961600.

The previous prime is 2343222130289. The next prime is 2343222130307. The reversal of 2343222130304 is 4030312223432.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2343222130307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505492 + ... + 2636844.

It is an arithmetic number, because the mean of its divisors is an integer number (79624694520).

Almost surely, 22343222130304 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 2343222130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547990224640).

2343222130304 is an abundant number, since it is smaller than the sum of its proper divisors (2752758318976).

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

2343222130304 is a wasteful number, since it uses less digits than its factorization.

2343222130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132849 (or 1132837 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 2343222130304 its reverse (4030312223432), we get a palindrome (6373534353736).

The spelling of 2343222130304 in words is "two trillion, three hundred forty-three billion, two hundred twenty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1471 2942 5884 11768 16181 23536 32362 47072 64724 94144 129448 188288 258896 517792 1035584 1131353 2071168 2262706 4525412 9050824 12444883 18101648 24889766 36203296 49779532 72406592 99559064 144813184 199118128 398236256 796472512 1592945024 1664220263 3328440526 6656881052 13313762104 18306422893 26627524208 36612845786 53255048416 73225691572 106510096832 146451383144 213020193664 292902766288 585805532576 1171611065152 2343222130304