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2214224012 = 2271121350273
BaseRepresentation
bin1000001111111010…
…0110000010001100
312201022110020022202
42003332212002030
514013320132022
61003414301032
7105604410410
oct20376460214
95638406282
102214224012
11a36965300
12519657778
13293971a30
14170100d40
15ce5cb592
hex83fa608c

2214224012 has 72 divisors (see below), whose sum is σ = 5242170528. Its totient is φ = 796308480.

The previous prime is 2214224009. The next prime is 2214224119. The reversal of 2214224012 is 2104224122.

It is a super-2 number, since 2×22142240122 = 9805575950634752288, which contains 22 as substring.

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, 18908 + ... + 69180.

It is an arithmetic number, because the mean of its divisors is an integer number (72807924).

Almost surely, 22214224012 is an apocalyptic number.

2214224012 is a gapful number since it is divisible by the number (22) 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 2214224012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621085264).

2214224012 is an abundant number, since it is smaller than the sum of its proper divisors (3027946516).

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

2214224012 is a wasteful number, since it uses less digits than its factorization.

2214224012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50319 (or 50306 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2214224012 is about 47055.5417777758. The cubic root of 2214224012 is about 1303.3884016098.

Adding to 2214224012 its reverse (2104224122), we get a palindrome (4318448134).

The spelling of 2214224012 in words is "two billion, two hundred fourteen million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 50273 100546 201092 351911 553003 653549 703822 1106006 1307098 1407644 2212012 2614196 3871021 4574843 6083033 7189039 7742042 9149686 12166066 14378078 15484084 18299372 24332132 28756156 42581231 50323273 79079429 85162462 100646546 158158858 170324924 201293092 316317716 553556003 1107112006 2214224012