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4314222216 = 233319973251
BaseRepresentation
bin1000000010010010…
…11100111010001000
3102010122222012022000
410001021130322020
532313420102331
61552032431000
7211624166223
oct40111347210
912118865260
104314222216
1119142a2007
12a049a8460
13539a5bb15
142ccd8a5ba
151a3b430e6
hex10125ce88

4314222216 has 32 divisors (see below), whose sum is σ = 11983951200. Its totient is φ = 1438074000.

The previous prime is 4314222197. The next prime is 4314222239. The reversal of 4314222216 is 6122224134.

4314222216 is a `hidden beast` number, since 431 + 4 + 2 + 2 + 221 + 6 = 666.

It is a super-2 number, since 2×43142222162 = 37225026658055901312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4314222216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9986410 + ... + 9986841.

It is an arithmetic number, because the mean of its divisors is an integer number (374498475).

Almost surely, 24314222216 is an apocalyptic number.

It is an amenable number.

4314222216 is an abundant number, since it is smaller than the sum of its proper divisors (7669728984).

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

4314222216 is a wasteful number, since it uses less digits than its factorization.

4314222216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973266 (or 19973256 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4314222216 is about 65682.7391024461. The cubic root of 4314222216 is about 1627.9241664496.

The spelling of 4314222216 in words is "four billion, three hundred fourteen million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 19973251 39946502 59919753 79893004 119839506 159786008 179759259 239679012 359518518 479358024 539277777 719037036 1078555554 1438074072 2157111108 4314222216