Search a number
-
+
22002020101200 = 2435218335016751
BaseRepresentation
bin1010000000010101111101…
…00101111010110001010000
32212220101001121111010111210
411000022332211322301100
510340440114121214300
6114443331040540120
74430410366061556
oct500127645726120
985811047433453
1022002020101200
117013005834847
122574180021640
13c37a2120c959
14560c91119bd6
152824ca397050
hex1402be97ac50

22002020101200 has 60 divisors (see below), whose sum is σ = 70479804394688. Its totient is φ = 5867205360000.

The previous prime is 22002020101181. The next prime is 22002020101207. The reversal of 22002020101200 is 210102020022.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002020101207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9167507176 + ... + 9167509575.

Almost surely, 222002020101200 is an apocalyptic number.

22002020101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002020101200 is an abundant number, since it is smaller than the sum of its proper divisors (48477784293488).

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

22002020101200 is a wasteful number, since it uses less digits than its factorization.

22002020101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18335016772 (or 18335016761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22002020101200 its reverse (210102020022), we get a palindrome (22212122121222).

The spelling of 22002020101200 in words is "twenty-two trillion, two billion, twenty million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18335016751 36670033502 55005050253 73340067004 91675083755 110010100506 146680134008 183350167510 220020201012 275025251265 293360268016 366700335020 440040402024 458375418775 550050502530 733400670040 880080804048 916750837550 1100101005060 1375126256325 1466801340080 1833501675100 2200202010120 2750252512650 3667003350200 4400404020240 5500505025300 7334006700400 11001010050600 22002020101200