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2216311272 = 2332731141853
BaseRepresentation
bin1000010000011010…
…0011100111101000
312201110101021111200
42010012203213220
514014333430042
61003531124200
7105631222620
oct20406434750
95643337450
102216311272
11a3806050a
1251a2a3660
13294222ab6
141704c5880
15ce88ec4c
hex841a39e8

2216311272 has 96 divisors (see below), whose sum is σ = 7081351680. Its totient is φ = 612800640.

The previous prime is 2216311177. The next prime is 2216311277. The reversal of 2216311272 is 2721136122.

2216311272 is a `hidden beast` number, since 2 + 2 + 1 + 631 + 1 + 27 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2216311277) 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, 55303 + ... + 86550.

It is an arithmetic number, because the mean of its divisors is an integer number (73764080).

Almost surely, 22216311272 is an apocalyptic number.

It is an amenable number.

2216311272 is an abundant number, since it is smaller than the sum of its proper divisors (4865040408).

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

2216311272 is a wasteful number, since it uses less digits than its factorization.

2216311272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141903 (or 141896 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2216311272 is about 47077.7152376791. The cubic root of 2216311272 is about 1303.7978236118.

Adding to 2216311272 its reverse (2721136122), we get a palindrome (4937447394).

The spelling of 2216311272 in words is "two billion, two hundred sixteen million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 141853 283706 425559 567412 851118 992971 1134824 1276677 1702236 1985942 2553354 2978913 3404472 3971884 4397443 5106708 5957826 7943768 8794886 8936739 10213416 11915652 13192329 17589772 17873478 23831304 26384658 30782101 35179544 35746956 39576987 52769316 61564202 71493912 79153974 92346303 105538632 123128404 158307948 184692606 246256808 277038909 316615896 369385212 554077818 738770424 1108155636 2216311272