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2202331122 = 232122351729
BaseRepresentation
bin1000001101000100…
…1110011111110010
312200111002000100100
42003101032133302
514002244043442
61002311333230
7105401335305
oct20321163762
95614060310
102202331122
11a30181a72
12515681216
13291369714
1416c6c6b3c
15cd52c84c
hex8344e7f2

2202331122 has 12 divisors (see below), whose sum is σ = 4771717470. Its totient is φ = 734110368.

The previous prime is 2202331099. The next prime is 2202331133. The reversal of 2202331122 is 2211332022.

2202331122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2202331041 + 81 = 46929^2 + 9^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 122351729 = 2202331122 / (2 + 2 + 0 + 2 + 3 + 3 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2202331095 and 2202331104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61175847 + ... + 61175882.

Almost surely, 22202331122 is an apocalyptic number.

2202331122 is an abundant number, since it is smaller than the sum of its proper divisors (2569386348).

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

2202331122 is a wasteful number, since it uses less digits than its factorization.

2202331122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122351737 (or 122351734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2202331122 is about 46929.0008630058. Note that the first 3 decimals coincide. The cubic root of 2202331122 is about 1301.0506539906.

Adding to 2202331122 its reverse (2211332022), we get a palindrome (4413663144).

The spelling of 2202331122 in words is "two billion, two hundred two million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 122351729 244703458 367055187 734110374 1101165561 2202331122