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2224284097 = 72178293221
BaseRepresentation
bin1000010010010011…
…1110000111000001
312202000101100011111
42010210332013001
514023404042342
61004414043321
7106056050200
oct20444760701
95660340144
102224284097
11a41606622
12520aa9541
13295a84a49
1417159d237
15d0417217
hex8493e1c1

2224284097 has 24 divisors (see below), whose sum is σ = 2743790760. Its totient is φ = 1791659520.

The previous prime is 2224284089. The next prime is 2224284109. The reversal of 2224284097 is 7904824222.

It can be written as a sum of positive squares in 4 ways, for example, as 971194896 + 1253089201 = 31164^2 + 35399^2 .

It is not a de Polignac number, because 2224284097 - 23 = 2224284089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2224284037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688947 + ... + 692167.

It is an arithmetic number, because the mean of its divisors is an integer number (114324615).

Almost surely, 22224284097 is an apocalyptic number.

It is an amenable number.

2224284097 is a deficient number, since it is larger than the sum of its proper divisors (519506663).

2224284097 is a wasteful number, since it uses less digits than its factorization.

2224284097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 2224284097 is about 47162.3164931495. The cubic root of 2224284097 is about 1305.3593539709.

The spelling of 2224284097 in words is "two billion, two hundred twenty-four million, two hundred eighty-four thousand, ninety-seven".

Divisors: 1 7 17 49 119 829 833 3221 5803 14093 22547 40621 54757 98651 157829 383299 690557 2670209 2683093 18691463 45393553 130840241 317754871 2224284097