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2243001141 = 32249222349
BaseRepresentation
bin1000010110110001…
…0111101100110101
312210022121021010100
42011230113230311
514043202014031
61010323144313
7106404123633
oct20554275465
95708537110
102243001141
11a5112aa57
12527215099
13299909214
14173c72353
15d1db2de6
hex85b17b35

2243001141 has 6 divisors (see below), whose sum is σ = 3239890550. Its totient is φ = 1495334088.

The previous prime is 2243001121. The next prime is 2243001157. The reversal of 2243001141 is 1411003422.

2243001141 is a `hidden beast` number, since 224 + 300 + 1 + 141 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1692911025 + 550090116 = 41145^2 + 23454^2 .

It is not a de Polignac number, because 2243001141 - 213 = 2242992949 is a prime.

It is a super-3 number, since 3×22430011413 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124611166 + ... + 124611183.

Almost surely, 22243001141 is an apocalyptic number.

It is an amenable number.

2243001141 is a deficient number, since it is larger than the sum of its proper divisors (996889409).

2243001141 is a wasteful number, since it uses less digits than its factorization.

2243001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249222355 (or 249222352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2243001141 is about 47360.3329908057. The cubic root of 2243001141 is about 1309.0106044476.

Adding to 2243001141 its reverse (1411003422), we get a palindrome (3654004563).

The spelling of 2243001141 in words is "two billion, two hundred forty-three million, one thousand, one hundred forty-one".

Divisors: 1 3 9 249222349 747667047 2243001141