Search a number
-
+
202222202112020 = 22510111110105601
BaseRepresentation
bin101101111110101110000110…
…100001011100100000010100
3222112000020211221221202002002
4231332232012201130200110
5203001202032220041040
61554031332552534432
760411033453520256
oct5576560641344024
9875006757852062
10202222202112020
1159485a55196742
121a8200263b1418
1388ab61980aabc
1437d186d107cd6
15185a3e4744a15
hexb7eb8685c814

202222202112020 has 12 divisors (see below), whose sum is σ = 424666624435284. Its totient is φ = 80888880844800.

The previous prime is 202222202111981. The next prime is 202222202112031. The reversal of 202222202112020 is 20211202222202.

It can be written as a sum of positive squares in 2 ways, for example, as 63252149546884 + 138970052565136 = 7953122^2 + 11788556^2 .

It is a super-2 number, since 2×2022222021120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10111110105601 = 202222202112020 / (2 + 0 + 2 + 2 + 2 + 2 + 2 + 0 + 2 + 1 + 1 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 202222202111983 and 202222202112001.

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 3 ways as a sum of consecutive naturals, for example, 5055555052781 + ... + 5055555052820.

It is an arithmetic number, because the mean of its divisors is an integer number (35388885369607).

Almost surely, 2202222202112020 is an apocalyptic number.

202222202112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222202112020 is an abundant number, since it is smaller than the sum of its proper divisors (222444422323264).

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

202222202112020 is a wasteful number, since it uses less digits than its factorization.

202222202112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111110105610 (or 10111110105608 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202222202112020 its reverse (20211202222202), we get a palindrome (222433404334222).

The spelling of 202222202112020 in words is "two hundred two trillion, two hundred twenty-two billion, two hundred two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 10111110105601 20222220211202 40444440422404 50555550528005 101111101056010 202222202112020