Search a number
-
+
222200011222020 = 223351383381354497
BaseRepresentation
bin110010100001011011111000…
…101111001110110000000100
31002010202010001211100020102000
4302201123320233032300010
5213111011110333101040
62104325135335145300
764542264263230656
oct6241337057166004
91063663054306360
10222200011222020
116488854a657667
1220b07a26215230
1396ca4a9554ca0
143cc27760d46d6
151aa4deb342130
hexca16f8bcec04

222200011222020 has 192 divisors, whose sum is σ = 753434454608640. Its totient is φ = 54036406665216.

The previous prime is 222200011221977. The next prime is 222200011222027. The reversal of 222200011222020 is 20222110002222.

222200011222020 is a `hidden beast` number, since 222 + 200 + 0 + 1 + 1 + 2 + 220 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 222200011221984 and 222200011222002.

It is not an unprimeable number, because it can be changed into a prime (222200011222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190094589 + ... + 191259908.

It is an arithmetic number, because the mean of its divisors is an integer number (3924137784420).

Almost surely, 2222200011222020 is an apocalyptic number.

222200011222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222200011222020 is an abundant number, since it is smaller than the sum of its proper divisors (531234443386620).

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

222200011222020 is a wasteful number, since it uses less digits than its factorization.

222200011222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381354611 (or 381354603 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222200011222020 its reverse (20222110002222), we get a palindrome (242422121224242).

The spelling of 222200011222020 in words is "two hundred twenty-two trillion, two hundred billion, eleven million, two hundred twenty-two thousand, twenty".