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2223319340 = 2251128311069
BaseRepresentation
bin1000010010000101…
…0010100100101100
312201221120022202202
42010201102210230
514023132204330
61004341241032
7106044621404
oct20441224454
95657508682
102223319340
11a41007800
12520703178
13295807898
141713cb804
15d02c6445
hex8485292c

2223319340 has 72 divisors (see below), whose sum is σ = 5194309680. Its totient is φ = 798666880.

The previous prime is 2223319339. The next prime is 2223319367. The reversal of 2223319340 is 439133222.

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 23 ways as a sum of consecutive naturals, for example, 195326 + ... + 206394.

It is an arithmetic number, because the mean of its divisors is an integer number (72143190).

Almost surely, 22223319340 is an apocalyptic number.

2223319340 is a gapful number since it is divisible by the number (20) 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 2223319340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597154840).

2223319340 is an abundant number, since it is smaller than the sum of its proper divisors (2970990340).

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

2223319340 is a wasteful number, since it uses less digits than its factorization.

2223319340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11183 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 2223319340 is about 47152.0873344967. The cubic root of 2223319340 is about 1305.1705986022.

The spelling of 2223319340 in words is "two billion, two hundred twenty-three million, three hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 121 166 220 242 332 415 484 605 830 913 1210 1660 1826 2420 3652 4565 9130 10043 11069 18260 20086 22138 40172 44276 50215 55345 100430 110690 121759 200860 221380 243518 487036 608795 918727 1217590 1339349 1837454 2435180 2678698 3674908 4593635 5357396 6696745 9187270 10105997 13393490 18374540 20211994 26786980 40423988 50529985 101059970 111165967 202119940 222331934 444663868 555829835 1111659670 2223319340