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230094572401 = 1933430134757
BaseRepresentation
bin1101011001001010110…
…1001000101101110001
3210222220200112100211001
43112102231020231301
512232213202304101
6253412021122001
722423646411101
oct3262255105561
9728820470731
10230094572401
1189645429941
1238716259301
131890c177475
14b1cad07201
155eba52e901
hex3592b48b71

230094572401 has 8 divisors (see below), whose sum is σ = 231300169704. Its totient is φ = 228889113600.

The previous prime is 230094572303. The next prime is 230094572417. The reversal of 230094572401 is 104275490032.

230094572401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3390034176 + 226704538225 = 58224^2 + 476135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230094572401 is a prime.

It is a super-3 number, since 3×2300945724013 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230094542401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6602715 + ... + 6637471.

It is an arithmetic number, because the mean of its divisors is an integer number (28912521213).

Almost surely, 2230094572401 is an apocalyptic number.

It is an amenable number.

230094572401 is a deficient number, since it is larger than the sum of its proper divisors (1205597303).

230094572401 is a wasteful number, since it uses less digits than its factorization.

230094572401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69251.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 230094572401 in words is "two hundred thirty billion, ninety-four million, five hundred seventy-two thousand, four hundred one".

Divisors: 1 193 34301 34757 6620093 6708101 1192199857 230094572401