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2210205340 = 225783190207
BaseRepresentation
bin1000001110111101…
…0000111010011100
312201000220001202001
42003233100322130
514011303032330
61003152212044
7105525302230
oct20357207234
95630801661
102210205340
11a3466aa92
1251823a024
13292b95815
1416d7765c0
15ce0859ca
hex83bd0e9c

2210205340 has 48 divisors (see below), whose sum is σ = 5368430592. Its totient is φ = 748650816.

The previous prime is 2210205331. The next prime is 2210205353. The reversal of 2210205340 is 435020122.

2210205340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 83484 + ... + 106723.

It is an arithmetic number, because the mean of its divisors is an integer number (111842304).

Almost surely, 22210205340 is an apocalyptic number.

2210205340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210205340 is an abundant number, since it is smaller than the sum of its proper divisors (3158225252).

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

2210205340 is a wasteful number, since it uses less digits than its factorization.

2210205340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190306 (or 190304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2210205340 is about 47012.8210172502. The cubic root of 2210205340 is about 1302.5994024758.

Adding to 2210205340 its reverse (435020122), we get a palindrome (2645225462).

The spelling of 2210205340 in words is "two billion, two hundred ten million, two hundred five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 190207 380414 760828 951035 1331449 1902070 2662898 3804140 5325796 6657245 13314490 15787181 26628980 31574362 63148724 78935905 110510267 157871810 221020534 315743620 442041068 552551335 1105102670 2210205340