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2241224140 = 2254710722283
BaseRepresentation
bin1000010110010110…
…0101110111001100
312210012020222112111
42011211211313030
514042223133030
61010221113404
7106353043111
oct20545456714
95705228474
102241224140
11a50126961
125266b8864
1329943643c
1417392c908
15d1b6162a
hex85965dcc

2241224140 has 48 divisors (see below), whose sum is σ = 4851850752. Its totient is φ = 869176256.

The previous prime is 2241224137. The next prime is 2241224149. The reversal of 2241224140 is 414221422.

2241224140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2241224149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89439 + ... + 111721.

It is an arithmetic number, because the mean of its divisors is an integer number (101080224).

Almost surely, 22241224140 is an apocalyptic number.

2241224140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241224140 is an abundant number, since it is smaller than the sum of its proper divisors (2610626612).

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

2241224140 is a wasteful number, since it uses less digits than its factorization.

2241224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446 (or 22444 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2241224140 is about 47341.5688375449. The cubic root of 2241224140 is about 1308.6648284746.

Adding to 2241224140 its reverse (414221422), we get a palindrome (2655445562).

The spelling of 2241224140 in words is "two billion, two hundred forty-one million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 47 94 107 188 214 235 428 470 535 940 1070 2140 5029 10058 20116 22283 25145 44566 50290 89132 100580 111415 222830 445660 1047301 2094602 2384281 4189204 4768562 5236505 9537124 10473010 11921405 20946020 23842810 47685620 112061207 224122414 448244828 560306035 1120612070 2241224140