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20002122210222 = 23267116531142327
BaseRepresentation
bin1001000110001000110110…
…11000111001101110101110
32121211011222021202221210100
410203010123120321232232
510110203321241211342
6110312503104251530
74133051143351455
oct443043330715656
977734867687710
1020002122210222
116411941595a89
1222b0666310ba6
13b21265b7a029
144d2172049b9c
1524a47b338e4c
hex12311b639bae

20002122210222 has 48 divisors (see below), whose sum is σ = 43985452747392. Its totient is φ = 6567758516880.

The previous prime is 20002122210211. The next prime is 20002122210247. The reversal of 20002122210222 is 22201222120002.

20002122210222 is a `hidden beast` number, since 20 + 0 + 0 + 212 + 2 + 210 + 222 = 666.

It is a super-2 number, since 2×200021222102222 (a number of 27 digits) contains 22 as substring.

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 = 20002122210195 and 20002122210204.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 140465223 + ... + 140607549.

It is an arithmetic number, because the mean of its divisors is an integer number (916363598904).

Almost surely, 220002122210222 is an apocalyptic number.

20002122210222 is an abundant number, since it is smaller than the sum of its proper divisors (23983330537170).

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

20002122210222 is a wasteful number, since it uses less digits than its factorization.

20002122210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258933 (or 258930 counting only the distinct ones).

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

Adding to 20002122210222 its reverse (22201222120002), we get a palindrome (42203344330224).

The spelling of 20002122210222 in words is "twenty trillion, two billion, one hundred twenty-two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 116531 142327 233062 284654 349593 426981 699186 853962 1048779 1280943 2097558 2561886 7807577 9535909 15615154 19071818 23422731 28607727 46845462 57215454 70268193 85823181 140536386 171646362 16585507637 33171015274 49756522911 99513045822 149269568733 298539137466 1111229011679 2222458023358 3333687035037 6667374070074 10001061105111 20002122210222