Search a number
-
+
2202121312 = 25353383509
BaseRepresentation
bin1000001101000001…
…1011010001100000
312200110200100112121
42003100123101200
514002220340222
61002303034024
7105366502516
oct20320332140
95613610477
102202121312
11a30049376
1251559b914
132912c5081
1416c6704b6
15cd4da5c7
hex8341b460

2202121312 has 48 divisors (see below), whose sum is σ = 4367623680. Its totient is φ = 1092923392.

The previous prime is 2202121309. The next prime is 2202121319. The reversal of 2202121312 is 2131212022.

It is a happy number.

It is a super-3 number, since 3×22021213123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202121319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4326114 + ... + 4326622.

It is an arithmetic number, because the mean of its divisors is an integer number (90992160).

Almost surely, 22202121312 is an apocalyptic number.

It is an amenable number.

2202121312 is a deficient number, since it is larger than the sum of its proper divisors (2165502368).

2202121312 is a wasteful number, since it uses less digits than its factorization.

2202121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2202121312 is about 46926.7654116497. The cubic root of 2202121312 is about 1301.0093368450.

Adding to 2202121312 its reverse (2131212022), we get a palindrome (4333333334).

The spelling of 2202121312 in words is "two billion, two hundred two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 353 383 509 706 766 1018 1412 1532 2036 2824 3064 4072 5648 6128 8144 11296 12256 16288 135199 179677 194947 270398 359354 389894 540796 718708 779788 1081592 1437416 1559576 2163184 2874832 3119152 4326368 5749664 6238304 68816291 137632582 275265164 550530328 1101060656 2202121312