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223661313 = 3279731181
BaseRepresentation
bin11010101010011…
…00110100000001
3120120212011122100
431111030310001
5424224130223
634105501013
75354042541
oct1525146401
9516764570
10223661313
11105284067
1262aa1769
1337450095
14219c1321
1514980043
hexd54cd01

223661313 has 12 divisors (see below), whose sum is σ = 323482068. Its totient is φ = 148915680.

The previous prime is 223661309. The next prime is 223661357. The reversal of 223661313 is 313166322.

It is a happy number.

223661313 is a `hidden beast` number, since 2 + 2 + 36 + 613 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44315649 + 179345664 = 6657^2 + 13392^2 .

It is not a de Polignac number, because 223661313 - 22 = 223661309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (223661213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8418 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (26956839).

Almost surely, 2223661313 is an apocalyptic number.

It is an amenable number.

223661313 is a deficient number, since it is larger than the sum of its proper divisors (99820755).

223661313 is a wasteful number, since it uses less digits than its factorization.

223661313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31984 (or 31981 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 223661313 is about 14955.3105283709. The cubic root of 223661313 is about 607.0115527133.

The spelling of 223661313 in words is "two hundred twenty-three million, six hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 3 9 797 2391 7173 31181 93543 280629 24851257 74553771 223661313