Search a number
-
+
2222201072 = 247132935209
BaseRepresentation
bin1000010001110100…
…0001100011110000
312201212110111210102
42010131001203300
514022340413242
61004301251532
7106032253220
oct20435014360
95655414712
102222201072
11a40413613
12520263ba8
132955058a0
141711ba080
15d0154e32
hex847418f0

2222201072 has 80 divisors (see below), whose sum is σ = 5318201280. Its totient is φ = 875943936.

The previous prime is 2222201071. The next prime is 2222201083. The reversal of 2222201072 is 2701022222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222201071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424004 + ... + 429212.

It is an arithmetic number, because the mean of its divisors is an integer number (66477516).

Almost surely, 22222201072 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 2222201072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659100640).

2222201072 is an abundant number, since it is smaller than the sum of its proper divisors (3096000208).

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

2222201072 is a wasteful number, since it uses less digits than its factorization.

2222201072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2222201072 is about 47140.2277465860. The cubic root of 2222201072 is about 1304.9517403605.

Adding to 2222201072 its reverse (2701022222), we get a palindrome (4923223294).

The spelling of 2222201072 in words is "two billion, two hundred twenty-two million, two hundred one thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 293 364 586 728 1172 1456 2051 2344 3809 4102 4688 5209 7618 8204 10418 15236 16408 20836 26663 30472 32816 36463 41672 53326 60944 67717 72926 83344 106652 135434 145852 213304 270868 291704 426608 474019 541736 583408 948038 1083472 1526237 1896076 3052474 3792152 6104948 7584304 10683659 12209896 19841081 21367318 24419792 39682162 42734636 79364324 85469272 138887567 158728648 170938544 277775134 317457296 555550268 1111100536 2222201072