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2220330132 = 2232293176709
BaseRepresentation
bin1000010001010111…
…1000110010010100
312201201221110100100
42010111320302110
514021401031012
61004153214100
7106010331456
oct20425706224
95651843310
102220330132
11a3a355989
1251b701330
13294ccc117
14170c502d6
15cedd58dc
hex84578c94

2220330132 has 72 divisors (see below), whose sum is σ = 5825219400. Its totient is φ = 712228608.

The previous prime is 2220330131. The next prime is 2220330137. The reversal of 2220330132 is 2310330222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100280196 + 2120049936 = 10014^2 + 46044^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220330131) 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 23 ways as a sum of consecutive naturals, for example, 327594 + ... + 334302.

It is an arithmetic number, because the mean of its divisors is an integer number (80905825).

Almost surely, 22220330132 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 2220330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912609700).

2220330132 is an abundant number, since it is smaller than the sum of its proper divisors (3604889268).

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

2220330132 is a wasteful number, since it uses less digits than its factorization.

2220330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220330132 is about 47120.3791580671. The cubic root of 2220330132 is about 1304.5854110863.

Adding to 2220330132 its reverse (2310330222), we get a palindrome (4530660354).

The spelling of 2220330132 in words is "two billion, two hundred twenty million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 317 348 522 634 951 1044 1268 1902 2853 3804 5706 6709 9193 11412 13418 18386 20127 26836 27579 36772 40254 55158 60381 80508 82737 110316 120762 165474 194561 241524 330948 389122 583683 778244 1167366 1751049 2126753 2334732 3502098 4253506 6380259 7004196 8507012 12760518 19140777 25521036 38281554 61675837 76563108 123351674 185027511 246703348 370055022 555082533 740110044 1110165066 2220330132