Search a number
-
+
2203223232 = 26374139983
BaseRepresentation
bin1000001101010010…
…1000010011000000
312200112202100002110
42003110220103000
514003011120412
61002342415320
7105412042230
oct20324502300
95615670073
102203223232
11a30731251
12515a31540
132915bc7b2
1416c879cc0
15cd656d3c
hex835284c0

2203223232 has 112 divisors (see below), whose sum is σ = 6824788992. Its totient is φ = 614123520.

The previous prime is 2203223219. The next prime is 2203223237. The reversal of 2203223232 is 2323223022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×22032232322 = 9708385220049051648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2203223199 and 2203223208.

It is not an unprimeable number, because it can be changed into a prime (2203223237) 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, 35113 + ... + 75095.

It is an arithmetic number, because the mean of its divisors is an integer number (60935616).

Almost surely, 22203223232 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 2203223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412394496).

2203223232 is an abundant number, since it is smaller than the sum of its proper divisors (4621565760).

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

2203223232 is a wasteful number, since it uses less digits than its factorization.

2203223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40046 (or 40036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2203223232 is about 46938.5047908431. The cubic root of 2203223232 is about 1301.2263047820.

Adding to 2203223232 its reverse (2323223022), we get a palindrome (4526446254).

The spelling of 2203223232 in words is "two billion, two hundred three million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3444 3936 4592 6888 7872 9184 13776 18368 27552 39983 55104 79966 119949 159932 239898 279881 319864 479796 559762 639728 839643 959592 1119524 1279456 1639303 1679286 1919184 2239048 2558912 3278606 3358572 3838368 4478096 4917909 6557212 6717144 7676736 8956192 9835818 11475121 13114424 13434288 17912384 19671636 22950242 26228848 26868576 34425363 39343272 45900484 52457696 53737152 68850726 78686544 91800968 104915392 137701452 157373088 183601936 275402904 314746176 367203872 550805808 734407744 1101611616 2203223232