Search a number
-
+
2334443221332 = 22323711931469057
BaseRepresentation
bin100001111110000111101…
…010001011000101010100
322021011121100202210220100
4201332013222023011110
5301221414431040312
64544232311534100
7330441451660335
oct41760752130524
98234540683810
102334443221332
11820039381062
1231852038a330
1313c1a2141c01
1480db81a628c
1540ace3da5dc
hex21f87a8b154

2334443221332 has 72 divisors (see below), whose sum is σ = 6065523061416. Its totient is φ = 756481572864.

The previous prime is 2334443221273. The next prime is 2334443221337. The reversal of 2334443221332 is 2331223444332.

2334443221332 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 4 + 432 + 213 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397096584336 + 1937346636996 = 630156^2 + 1391886^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334443221337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854548 + ... + 2323604.

It is an arithmetic number, because the mean of its divisors is an integer number (84243375853).

Almost surely, 22334443221332 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 2334443221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032761530708).

2334443221332 is an abundant number, since it is smaller than the sum of its proper divisors (3731079840084).

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

2334443221332 is a wasteful number, since it uses less digits than its factorization.

2334443221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470297 (or 1470292 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 2334443221332 its reverse (2331223444332), we get a palindrome (4665666665664).

The spelling of 2334443221332 in words is "two trillion, three hundred thirty-four billion, four hundred forty-three million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1193 1332 2386 3579 4772 7158 10737 14316 21474 42948 44141 88282 132423 176564 264846 397269 529692 794538 1469057 1589076 2938114 4407171 5876228 8814342 13221513 17628684 26443026 52886052 54355109 108710218 163065327 217420436 326130654 489195981 652261308 978391962 1752585001 1956783924 3505170002 5257755003 7010340004 10515510006 15773265009 21031020012 31546530018 63093060036 64845645037 129691290074 194536935111 259382580148 389073870222 583610805333 778147740444 1167221610666 2334443221332