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2242024101 = 321971264537
BaseRepresentation
bin1000010110100010…
…1001001010100101
312210020202121212200
42011220221022211
514042424232401
61010250205113
7106362614262
oct20550511245
95706677780
102242024101
11a50622989
12526a23799
132996565a5
14173a9a269
15d1c6d686
hex85a292a5

2242024101 has 12 divisors (see below), whose sum is σ = 3254920812. Its totient is φ = 1487094336.

The previous prime is 2242024063. The next prime is 2242024123. The reversal of 2242024101 is 1014202422.

2242024101 is a `hidden beast` number, since 2 + 2 + 420 + 241 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1501640001 + 740384100 = 38751^2 + 27210^2 .

It is not a de Polignac number, because 2242024101 - 211 = 2242022053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242024151) 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 11 ways as a sum of consecutive naturals, for example, 630496 + ... + 634041.

It is an arithmetic number, because the mean of its divisors is an integer number (271243401).

Almost surely, 22242024101 is an apocalyptic number.

It is an amenable number.

2242024101 is a deficient number, since it is larger than the sum of its proper divisors (1012896711).

2242024101 is a wasteful number, since it uses less digits than its factorization.

2242024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264740 (or 1264737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242024101 is about 47350.0169060160. The cubic root of 2242024101 is about 1308.8205107015.

Adding to 2242024101 its reverse (1014202422), we get a palindrome (3256226523).

The spelling of 2242024101 in words is "two billion, two hundred forty-two million, twenty-four thousand, one hundred one".

Divisors: 1 3 9 197 591 1773 1264537 3793611 11380833 249113789 747341367 2242024101