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2213114436 = 22321310614457
BaseRepresentation
bin1000001111101001…
…0111001001000100
312201020100212021100
42003322113021010
514013024130221
61003334420100
7105562106451
oct20372271104
95636325240
102213114436
11a362776a5
12519201630
13293673990
1416dcd2828
15ce45c926
hex83e97244

2213114436 has 72 divisors (see below), whose sum is σ = 6031620504. Its totient is φ = 680163840.

The previous prime is 2213114429. The next prime is 2213114443. The reversal of 2213114436 is 6344113122.

It is a happy number.

2213114436 is a `hidden beast` number, since 2 + 213 + 1 + 1 + 443 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2213114429) and next prime (2213114443).

It can be written as a sum of positive squares in 4 ways, for example, as 307791936 + 1905322500 = 17544^2 + 43650^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494320 + ... + 498776.

It is an arithmetic number, because the mean of its divisors is an integer number (83772507).

Almost surely, 22213114436 is an apocalyptic number.

2213114436 is a gapful number since it is divisible by the number (26) 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 2213114436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015810252).

2213114436 is an abundant number, since it is smaller than the sum of its proper divisors (3818506068).

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

2213114436 is a wasteful number, since it uses less digits than its factorization.

2213114436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5536 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2213114436 is about 47043.7502331606. The cubic root of 2213114436 is about 1303.1706503615.

Adding to 2213114436 its reverse (6344113122), we get a palindrome (8557227558).

The spelling of 2213114436 in words is "two billion, two hundred thirteen million, one hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1061 2122 3183 4244 4457 6366 8914 9549 12732 13371 13793 17828 19098 26742 27586 38196 40113 41379 53484 55172 57941 80226 82758 115882 124137 160452 165516 173823 231764 248274 347646 496548 521469 695292 1042938 2085876 4728877 9457754 14186631 18915508 28373262 42559893 56746524 61475401 85119786 122950802 170239572 184426203 245901604 368852406 553278609 737704812 1106557218 2213114436