Search a number
-
+
2213232012 = 223461113991
BaseRepresentation
bin1000001111101011…
…0011110110001100
312201020120211120000
42003322303312030
514013041411022
61003341124300
7105563106315
oct20372636614
95636524500
102213232012
11a36347a72
12519259690
132936b5354
1416dd2360c
15ce4826ac
hex83eb3d8c

2213232012 has 120 divisors (see below), whose sum is σ = 5938703232. Its totient is φ = 718502400.

The previous prime is 2213232001. The next prime is 2213232019. The reversal of 2213232012 is 2102323122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213232019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2232837 + ... + 2233827.

Almost surely, 22213232012 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 2213232012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969351616).

2213232012 is an abundant number, since it is smaller than the sum of its proper divisors (3725471220).

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

2213232012 is a wasteful number, since it uses less digits than its factorization.

2213232012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213232012 is about 47044.9998618344. Note that the first 3 decimals coincide. The cubic root of 2213232012 is about 1303.1937277762.

Adding to 2213232012 its reverse (2102323122), we get a palindrome (4315555134).

The spelling of 2213232012 in words is "two billion, two hundred thirteen million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 113 122 162 183 226 244 324 339 366 452 549 678 732 991 1017 1098 1356 1647 1982 2034 2196 2973 3051 3294 3964 4068 4941 5946 6102 6588 6893 8919 9153 9882 11892 12204 13786 17838 18306 19764 20679 26757 27572 35676 36612 41358 53514 60451 62037 80271 82716 107028 111983 120902 124074 160542 181353 186111 223966 241804 248148 321084 335949 362706 372222 447932 544059 558333 671898 725412 744444 1007847 1088118 1116666 1343796 1632177 2015694 2176236 2233332 3023541 3264354 4031388 4896531 6047082 6528708 6830963 9070623 9793062 12094164 13661926 18141246 19586124 20492889 27323852 36282492 40985778 61478667 81971556 122957334 184436001 245914668 368872002 553308003 737744004 1106616006 2213232012