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220220000220220 = 225721131321952579
BaseRepresentation
bin110010000100100111110110…
…111000101011010000111100
31001212201211022110022201001121
4302010213312320223100330
5212331041030024021340
62100211401011520324
764246240620345400
oct6204476670532074
91055654273281047
10220220000220220
1164194861001000
12208481405b90a4
1395b5870315a00
143c549c22a5100
151a6d66315a94a
hexc849f6e2b43c

220220000220220 has 864 divisors, whose sum is σ = 674476604524800. Its totient is φ = 60024121597440.

The previous prime is 220220000220169. The next prime is 220220000220301. The reversal of 220220000220220 is 22022000022022.

It is a happy number.

220220000220220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220220000220194 and 220220000220203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4188337891 + ... + 4188390469.

It is an arithmetic number, because the mean of its divisors is an integer number (780644218200).

Almost surely, 2220220000220220 is an apocalyptic number.

220220000220220 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 220220000220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337238302262400).

220220000220220 is an abundant number, since it is smaller than the sum of its proper divisors (454256604304580).

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

220220000220220 is a wasteful number, since it uses less digits than its factorization.

220220000220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52680 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220220000220220 its reverse (22022000022022), we get a palindrome (242242000242242).

The spelling of 220220000220220 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred twenty thousand, two hundred twenty".