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220144041 = 3313627191
BaseRepresentation
bin11010001111100…
…10000110101001
3120100020110212000
431013302012221
5422324102131
633502241213
75312123235
oct1507620651
9510213760
10220144041
111032a1527
1261886209
13367bb160
14213475c5
15144d7ce6
hexd1f21a9

220144041 has 16 divisors (see below), whose sum is σ = 351227520. Its totient is φ = 135473040.

The previous prime is 220144019. The next prime is 220144069. The reversal of 220144041 is 140441022.

220144041 is a `hidden beast` number, since 220 + 1 + 440 + 4 + 1 = 666.

220144041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220144041 - 29 = 220143529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220145041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313245 + ... + 313946.

It is an arithmetic number, because the mean of its divisors is an integer number (21951720).

Almost surely, 2220144041 is an apocalyptic number.

It is an amenable number.

220144041 is a deficient number, since it is larger than the sum of its proper divisors (131083479).

220144041 is a wasteful number, since it uses less digits than its factorization.

220144041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627213 (or 627207 counting only the distinct ones).

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

The square root of 220144041 is about 14837.2518007884. The cubic root of 220144041 is about 603.8127946723.

Adding to 220144041 its reverse (140441022), we get a palindrome (360585063).

The spelling of 220144041 in words is "two hundred twenty million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 351 627191 1881573 5644719 8153483 16934157 24460449 73381347 220144041