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2110224140 = 225437333613
BaseRepresentation
bin111110111000111…
…0111011100001100
312110001202111022122
41331301313130030
513310204133030
6545221232112
7103202415653
oct17561673414
95401674278
102110224140
119931916a2
124aa862638
1327825a74b
1416038c19a
15c53d68e5
hex7dc7770c

2110224140 has 48 divisors (see below), whose sum is σ = 4596781728. Its totient is φ = 813141504.

The previous prime is 2110224131. The next prime is 2110224143. The reversal of 2110224140 is 414220112.

It is not an unprimeable number, because it can be changed into a prime (2110224143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45974 + ... + 79586.

It is an arithmetic number, because the mean of its divisors is an integer number (95766286).

Almost surely, 22110224140 is an apocalyptic number.

2110224140 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 2110224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298390864).

2110224140 is an abundant number, since it is smaller than the sum of its proper divisors (2486557588).

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

2110224140 is a wasteful number, since it uses less digits than its factorization.

2110224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33738 (or 33736 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2110224140 is about 45937.1760124629. The cubic root of 2110224140 is about 1282.6540268734.

Adding to 2110224140 its reverse (414220112), we get a palindrome (2524444252).

The spelling of 2110224140 in words is "two billion, one hundred ten million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 73 86 146 172 215 292 365 430 730 860 1460 3139 6278 12556 15695 31390 33613 62780 67226 134452 168065 336130 672260 1445359 2453749 2890718 4907498 5781436 7226795 9814996 12268745 14453590 24537490 28907180 49074980 105511207 211022414 422044828 527556035 1055112070 2110224140