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2214013312 = 2773596883
BaseRepresentation
bin1000001111110111…
…0010100110000000
312201022001112022001
42003331302212000
514013241411222
61003405553344
7105602542210
oct20375624600
95638045261
102214013312
11a36830a75
12519575854
132938c9b64
14170088240
15ce588e27
hex83f72980

2214013312 has 64 divisors (see below), whose sum is σ = 5055609600. Its totient is φ = 946082304.

The previous prime is 2214013279. The next prime is 2214013367. The reversal of 2214013312 is 2133104122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2214013312.

It is a congruent number.

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, 318223 + ... + 325105.

It is an arithmetic number, because the mean of its divisors is an integer number (78993900).

Almost surely, 22214013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527804800).

2214013312 is an abundant number, since it is smaller than the sum of its proper divisors (2841596288).

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

2214013312 is an equidigital number, since it uses as much as digits as its factorization.

2214013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2214013312 is about 47053.3028808818. The cubic root of 2214013312 is about 1303.3470579086.

Adding to 2214013312 its reverse (2133104122), we get a palindrome (4347117434).

The spelling of 2214013312 in words is "two billion, two hundred fourteen million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 359 448 718 896 1436 2513 2872 5026 5744 6883 10052 11488 13766 20104 22976 27532 40208 45952 48181 55064 80416 96362 110128 160832 192724 220256 321664 385448 440512 770896 881024 1541792 2470997 3083584 4941994 6167168 9883988 17296979 19767976 34593958 39535952 69187916 79071904 138375832 158143808 276751664 316287616 553503328 1107006656 2214013312