Search a number
-
+
222202010220021 = 3313192931157236063
BaseRepresentation
bin110010100001011101101111…
…111000110011010111110101
31002010202022020010210212011000
4302201131233320303113311
5213111024204104020041
62104330105544433513
764542364645360326
oct6241355770632765
91063668203725130
10222202010220021
1164889385a7a427
1220b082a3778899
1396ca73773b240
143cc28c57ac44d
151aa4eb6aa7bb6
hexca176fe335f5

222202010220021 has 256 divisors, whose sum is σ = 401029300224000. Its totient is φ = 120269698698240.

The previous prime is 222202010220017. The next prime is 222202010220023. The reversal of 222202010220021 is 120022010202222.

222202010220021 is a `hidden beast` number, since 2 + 2 + 220 + 201 + 0 + 220 + 0 + 21 = 666.

It is not a de Polignac number, because 222202010220021 - 22 = 222202010220017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222202010219976 and 222202010220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222202010220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 941164636 + ... + 941400698.

It is an arithmetic number, because the mean of its divisors is an integer number (1566520704000).

Almost surely, 2222202010220021 is an apocalyptic number.

It is an amenable number.

222202010220021 is a deficient number, since it is larger than the sum of its proper divisors (178827290003979).

222202010220021 is a wasteful number, since it uses less digits than its factorization.

222202010220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236321 (or 236315 counting only the distinct ones).

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

Adding to 222202010220021 its reverse (120022010202222), we get a palindrome (342224020422243).

The spelling of 222202010220021 in words is "two hundred twenty-two trillion, two hundred two billion, ten million, two hundred twenty thousand, twenty-one".