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220226105220 = 2235114161133417
BaseRepresentation
bin1100110100011001111…
…1111010111110000100
3210001102221021021210120
43031012133322332010
512102010340331340
6245100453421540
721624260002542
oct3150637727604
9701387237716
10220226105220
1185440993440
123682133a8b0
13179c87c1384
14a932422d92
155addea44d0
hex33467faf84

220226105220 has 192 divisors, whose sum is σ = 700399671552. Its totient is φ = 51231744000.

The previous prime is 220226105149. The next prime is 220226105237. The reversal of 220226105220 is 22501622022.

It is a happy number.

220226105220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202261052202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1583952 + ... + 1717368.

It is an arithmetic number, because the mean of its divisors is an integer number (3647914956).

Almost surely, 2220226105220 is an apocalyptic number.

220226105220 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 220226105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350199835776).

220226105220 is an abundant number, since it is smaller than the sum of its proper divisors (480173566332).

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

220226105220 is a wasteful number, since it uses less digits than its factorization.

220226105220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133542 (or 133540 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 220226105220 its reverse (22501622022), we get a palindrome (242727727242).

The spelling of 220226105220 in words is "two hundred twenty billion, two hundred twenty-six million, one hundred five thousand, two hundred twenty".