Search a number
-
+
2243457601 = 72115637393
BaseRepresentation
bin1000010110111000…
…0111001001000001
312210100110110021021
42011232013021001
514043311120401
61010341025441
7106411034500
oct20556071101
95710413237
102243457601
11a514119a0
125273b5281
13299a38c08
14173d50837
15d1e532a1
hex85b87241

2243457601 has 24 divisors (see below), whose sum is σ = 2852427744. Its totient is φ = 1744807680.

The previous prime is 2243457583. The next prime is 2243457607. The reversal of 2243457601 is 1067543422.

It is not a de Polignac number, because 2243457601 - 223 = 2235068993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2243457607) 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, 299761 + ... + 307153.

It is an arithmetic number, because the mean of its divisors is an integer number (118851156).

Almost surely, 22243457601 is an apocalyptic number.

It is an amenable number.

2243457601 is a deficient number, since it is larger than the sum of its proper divisors (608970143).

2243457601 is a wasteful number, since it uses less digits than its factorization.

2243457601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2243457601 is about 47365.1517573838. The cubic root of 2243457601 is about 1309.0993947804.

The spelling of 2243457601 in words is "two billion, two hundred forty-three million, four hundred fifty-seven thousand, six hundred one".

Divisors: 1 7 11 49 77 539 563 3941 6193 7393 27587 43351 51751 81323 303457 362257 569261 3984827 4162259 29135813 45784849 203950691 320493943 2243457601