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2210330120 = 235296131237
BaseRepresentation
bin1000001110111110…
…1111011000001000
312201001010101220112
42003233233120020
514011321030440
61003155013452
7105526332065
oct20357573010
95631111815
102210330120
11a34745809
1251829a288
13292c0a55b
1416d7a9c6c
15ce0ac965
hex83bef608

2210330120 has 64 divisors (see below), whose sum is σ = 5229241200. Its totient is φ = 839623680.

The previous prime is 2210330117. The next prime is 2210330159. The reversal of 2210330120 is 210330122.

It is a happy number.

2210330120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 790396996 + 1419933124 = 28114^2 + 37682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210330095 and 2210330104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55142 + ... + 86378.

Almost surely, 22210330120 is an apocalyptic number.

2210330120 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 2210330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614620600).

2210330120 is an abundant number, since it is smaller than the sum of its proper divisors (3018911080).

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

2210330120 is a wasteful number, since it uses less digits than its factorization.

2210330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31338 (or 31334 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2210330120 is about 47014.1480833164. The cubic root of 2210330120 is about 1302.6239153257.

Adding to 2210330120 its reverse (210330122), we get a palindrome (2420660242).

The spelling of 2210330120 in words is "two billion, two hundred ten million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 290 305 488 580 610 1160 1220 1769 2440 3538 7076 8845 14152 17690 31237 35380 62474 70760 124948 156185 249896 312370 624740 905873 1249480 1811746 1905457 3623492 3810914 4529365 7246984 7621828 9058730 9527285 15243656 18117460 19054570 36234920 38109140 55258253 76218280 110516506 221033012 276291265 442066024 552582530 1105165060 2210330120