Search a number
-
+
222002200112 = 24711670126891
BaseRepresentation
bin1100111011000001011…
…1001011111000110000
3210020000201022020221212
43032300113023320300
512114130030400422
6245553021335252
722016264365010
oct3166027137060
9706021266855
10222002200112
11861724aa860
1237038107528
1317c1c7616b4
14aa60275c40
155b94d899e2
hex33b05cbe30

222002200112 has 80 divisors (see below), whose sum is σ = 536365027584. Its totient is φ = 86478240000.

The previous prime is 222002200111. The next prime is 222002200129. The reversal of 222002200112 is 211002200222.

222002200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (222002200111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8242187 + ... + 8269077.

Almost surely, 2222002200112 is an apocalyptic number.

222002200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222002200112 is an abundant number, since it is smaller than the sum of its proper divisors (314362827472).

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

222002200112 is a wasteful number, since it uses less digits than its factorization.

222002200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33618 (or 33612 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222002200112 its reverse (211002200222), we get a palindrome (433004400334).

The spelling of 222002200112 in words is "two hundred twenty-two billion, two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 6701 13402 26804 26891 46907 53608 53782 73711 93814 107216 107564 147422 187628 188237 215128 294844 295801 375256 376474 430256 515977 589688 591602 750512 752948 1031954 1179376 1183204 1505896 2063908 2070607 2366408 3011792 4127816 4141214 4732816 8255632 8282428 16564856 33129712 180196591 360393182 720786364 1261376137 1441572728 1982162501 2522752274 2883145456 3964325002 5045504548 7928650004 10091009096 13875137507 15857300008 20182018192 27750275014 31714600016 55500550028 111001100056 222002200112