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2210011100220 = 22357112331696563
BaseRepresentation
bin100000001010001110111…
…011010011010000111100
321211021102110210010020010
4200022032323103100330
5242202100320201340
64411133131423220
7315445064255130
oct40121673232074
97737373703203
102210011100220
11782295718830
122b83942b4b10
13130531959291
1478d723833c0
153c74a2a3b80
hex2028eed343c

2210011100220 has 384 divisors, whose sum is σ = 8054147727360. Its totient is φ = 439051345920.

The previous prime is 2210011100207. The next prime is 2210011100233. The reversal of 2210011100220 is 220011100122.

It is an interprime number because it is at equal distance from previous prime (2210011100207) and next prime (2210011100233).

It is a super-2 number, since 2×22100111002202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210011100196 and 2210011100205.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 336734659 + ... + 336741221.

It is an arithmetic number, because the mean of its divisors is an integer number (20974343040).

Almost surely, 22210011100220 is an apocalyptic number.

2210011100220 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 2210011100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027073863680).

2210011100220 is an abundant number, since it is smaller than the sum of its proper divisors (5844136627140).

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

2210011100220 is a wasteful number, since it uses less digits than its factorization.

2210011100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9785 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210011100220 its reverse (220011100122), we get a palindrome (2430022200342).

The spelling of 2210011100220 in words is "two trillion, two hundred ten billion, eleven million, one hundred thousand, two hundred twenty".