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220041304340 = 22511131132812423
BaseRepresentation
bin1100110011101101111…
…0111101100100010100
3210000222001112102122112
43030323132331210110
512101121033214330
6245030252450152
721616554140504
oct3147336754424
9700861472575
10220041304340
1185356641840
123678b479958
1317999429240
14a915a79a04
155accb4d795
hex333b7bd914

220041304340 has 192 divisors, whose sum is σ = 549851162112. Its totient is φ = 72915763200.

The previous prime is 220041304309. The next prime is 220041304381. The reversal of 220041304340 is 43403140022.

It is a congruent number.

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, 90812369 + ... + 90814791.

It is an arithmetic number, because the mean of its divisors is an integer number (2863808136).

Almost surely, 2220041304340 is an apocalyptic number.

220041304340 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 220041304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274925581056).

220041304340 is an abundant number, since it is smaller than the sum of its proper divisors (329809857772).

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

220041304340 is a wasteful number, since it uses less digits than its factorization.

220041304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 220041304340 its reverse (43403140022), we get a palindrome (263444444362).

The spelling of 220041304340 in words is "two hundred twenty billion, forty-one million, three hundred four thousand, three hundred forty".