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2224122101 is a prime number
BaseRepresentation
bin1000010010010001…
…0110100011110101
312202000002002221122
42010210112203311
514023333401401
61004410353325
7106054503665
oct20444264365
95660062848
102224122101
11a41505943
12520a2b845
13295a290a6
1417155a1a5
15d03d421b
hex849168f5

2224122101 has 2 divisors, whose sum is σ = 2224122102. Its totient is φ = 2224122100.

The previous prime is 2224122071. The next prime is 2224122113. The reversal of 2224122101 is 1012214222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1224930001 + 999192100 = 34999^2 + 31610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2224122101 - 214 = 2224105717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2224122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223122101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112061050 + 1112061051.

It is an arithmetic number, because the mean of its divisors is an integer number (1112061051).

Almost surely, 22224122101 is an apocalyptic number.

It is an amenable number.

2224122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2224122101 is an equidigital number, since it uses as much as digits as its factorization.

2224122101 is an evil number, because the sum of its binary digits is even.

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

The square root of 2224122101 is about 47160.5990313948. The cubic root of 2224122101 is about 1305.3276631559.

Adding to 2224122101 its reverse (1012214222), we get a palindrome (3236336323).

The spelling of 2224122101 in words is "two billion, two hundred twenty-four million, one hundred twenty-two thousand, one hundred one".