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2213312202 = 234191233307
BaseRepresentation
bin1000001111101100…
…0111011011001010
312201020201220120000
42003323013123022
514013101442302
61003342543430
7105563562153
oct20373073312
95636656500
102213312202
11a363a2242
12519297b76
132937129ba
1416dd4492a
15ce49b31c
hex83ec76ca

2213312202 has 80 divisors (see below), whose sum is σ = 5023130112. Its totient is φ = 728377920.

The previous prime is 2213312197. The next prime is 2213312207. The reversal of 2213312202 is 2022133122.

It is an interprime number because it is at equal distance from previous prime (2213312197) and next prime (2213312207).

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

It is not an unprimeable number, because it can be changed into a prime (2213312207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7209333 + ... + 7209639.

Almost surely, 22213312202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511565056).

2213312202 is an abundant number, since it is smaller than the sum of its proper divisors (2809817910).

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

2213312202 is a wasteful number, since it uses less digits than its factorization.

2213312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213312202 is about 47045.8521232212. The cubic root of 2213312202 is about 1303.2094667261.

Adding to 2213312202 its reverse (2022133122), we get a palindrome (4235445324).

The spelling of 2213312202 in words is "two billion, two hundred thirteen million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 233 307 382 466 573 614 699 921 1146 1398 1719 1842 2097 2763 3438 4194 5157 5526 6291 8289 10314 12582 15471 16578 18873 24867 30942 37746 44503 49734 58637 71531 89006 117274 133509 143062 175911 214593 267018 351822 400527 429186 527733 643779 801054 1055466 1201581 1287558 1583199 1931337 2403162 3166398 3604743 3862674 4749597 5794011 7209486 9499194 11588022 13662421 27324842 40987263 81974526 122961789 245923578 368885367 737770734 1106656101 2213312202