Search a number
-
+
222120021222020 = 2254173271121711251
BaseRepresentation
bin110010100000010001011000…
…111101100110001010000100
31002010110110121012001012211102
4302200101120331212022010
5213103203300413101040
62104224310135555232
764533433122365615
oct6240213075461204
91063413535035742
10222120021222020
1164857632360749
1220ab442182bb18
1396c2a9c511a3c
143cbc9487ddc0c
151aa2cb8b9b515
hexca0458f66284

222120021222020 has 192 divisors, whose sum is σ = 486604606989312. Its totient is φ = 85100544000000.

The previous prime is 222120021221999. The next prime is 222120021222023. The reversal of 222120021222020 is 20222120021222.

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 = 222120021221983 and 222120021222001.

It is not an unprimeable number, because it can be changed into a prime (222120021222023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19742241395 + ... + 19742252645.

It is an arithmetic number, because the mean of its divisors is an integer number (2534398994736).

Almost surely, 2222120021222020 is an apocalyptic number.

222120021222020 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 222120021222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243302303494656).

222120021222020 is an abundant number, since it is smaller than the sum of its proper divisors (264484585767292).

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

222120021222020 is a wasteful number, since it uses less digits than its factorization.

222120021222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12860 counting only the distinct ones).

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

Adding to 222120021222020 its reverse (20222120021222), we get a palindrome (242342141243242).

The spelling of 222120021222020 in words is "two hundred twenty-two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-two thousand, twenty".