Search a number
-
+
220022212122020 = 2257211231298368351
BaseRepresentation
bin110010000001101111101001…
…110010111101010110100100
31001212000220210021010021102002
4302001233221302331112210
5212314320442300401040
62055540450414304432
764226036345300600
oct6201575162752644
91055026707107362
10220022212122020
1164118994859420
12208159417b8118
1395a000c334589
143c491bbc7c500
151a68438ea4a15
hexc81be9cbd5a4

220022212122020 has 288 divisors, whose sum is σ = 611894243229696. Its totient is φ = 65590672224000.

The previous prime is 220022212122007. The next prime is 220022212122049. The reversal of 220022212122020 is 20221212220022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220022212121983 and 220022212122001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3218970845 + ... + 3219039195.

It is an arithmetic number, because the mean of its divisors is an integer number (2124632788992).

Almost surely, 2220022212122020 is an apocalyptic number.

220022212122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022212122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305947121614848).

220022212122020 is an abundant number, since it is smaller than the sum of its proper divisors (391872031107676).

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

220022212122020 is a wasteful number, since it uses less digits than its factorization.

220022212122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81391 (or 81382 counting only the distinct ones).

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

Adding to 220022212122020 its reverse (20221212220022), we get a palindrome (240243424342042).

The spelling of 220022212122020 in words is "two hundred twenty trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, twenty".