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233224034013 = 3273354983309
BaseRepresentation
bin1101100100110100111…
…1000101011011011101
3211021222210011111002200
43121031033011123131
512310120323042023
6255050332242113
722564336402635
oct3311517053335
9737883144080
10233224034013
118aa00983753
123924a310339
1318cba6193b9
14b4067ad6c5
156100147743
hex364d3c56dd

233224034013 has 12 divisors (see below), whose sum is σ = 341493944220. Its totient is φ = 153352789056.

The previous prime is 233224034009. The next prime is 233224034041. The reversal of 233224034013 is 310430422332.

233224034013 is a `hidden beast` number, since 2 + 33 + 224 + 0 + 3 + 401 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99880017444 + 133344016569 = 316038^2 + 365163^2 .

It is not a de Polignac number, because 233224034013 - 22 = 233224034009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233224034063) 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, 177490998 + ... + 177492311.

It is an arithmetic number, because the mean of its divisors is an integer number (28457828685).

Almost surely, 2233224034013 is an apocalyptic number.

It is an amenable number.

233224034013 is a deficient number, since it is larger than the sum of its proper divisors (108269910207).

233224034013 is a wasteful number, since it uses less digits than its factorization.

233224034013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354983388 (or 354983385 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 233224034013 its reverse (310430422332), we get a palindrome (543654456345).

The spelling of 233224034013 in words is "two hundred thirty-three billion, two hundred twenty-four million, thirty-four thousand, thirteen".

Divisors: 1 3 9 73 219 657 354983309 1064949927 3194849781 25913781557 77741344671 233224034013