Search a number
-
+
2220306244100 = 2252716319459301
BaseRepresentation
bin100000010011110100100…
…100001010001000000100
321212020222221220121122022
4200103310210022020010
5242334141344302400
64415554500222312
7316261154452640
oct40236444121004
97766887817568
102220306244100
11786698a9a7aa
122ba38809a998
131314b28340a9
147966b7b3c20
153cb4e011b85
hex204f490a204

2220306244100 has 72 divisors (see below), whose sum is σ = 5540141116608. Its totient is φ = 756577584000.

The previous prime is 2220306244097. The next prime is 2220306244111. The reversal of 2220306244100 is 14426030222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220306244100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9615551 + ... + 9843750.

Almost surely, 22220306244100 is an apocalyptic number.

2220306244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220306244100 is an abundant number, since it is smaller than the sum of its proper divisors (3319834872508).

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

2220306244100 is a wasteful number, since it uses less digits than its factorization.

2220306244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19459485 (or 19459478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 2220306244100 in words is "two trillion, two hundred twenty billion, three hundred six million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 5705 8150 11410 16300 22820 28525 57050 114100 19459301 38918602 77837204 97296505 136215107 194593010 272430214 389186020 486482525 544860428 681075535 972965050 1362151070 1945930100 2724302140 3171866063 3405377675 6343732126 6810755350 12687464252 13621510700 15859330315 22203062441 31718660630 44406124882 63437321260 79296651575 88812249764 111015312205 158593303150 222030624410 317186606300 444061248820 555076561025 1110153122050 2220306244100