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233955313 = 6111333941
BaseRepresentation
bin11011111000111…
…01111111110001
3121022020011100121
431330131333301
5434343032223
635114250241
75540405314
oct1574357761
9538204317
10233955313
111100750a9
1266426981
13396156c7
142310097b
151581515d
hexdf1dff1

233955313 has 8 divisors (see below), whose sum is σ = 239902056. Its totient is φ = 228076800.

The previous prime is 233955221. The next prime is 233955317. The reversal of 233955313 is 313559332.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 220908769 = 3612^2 + 14863^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 233955313 - 29 = 233954801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233955317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10078 + ... + 23863.

It is an arithmetic number, because the mean of its divisors is an integer number (29987757).

Almost surely, 2233955313 is an apocalyptic number.

It is an amenable number.

233955313 is a deficient number, since it is larger than the sum of its proper divisors (5946743).

233955313 is a wasteful number, since it uses less digits than its factorization.

233955313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34115.

The product of its digits is 36450, while the sum is 34.

The square root of 233955313 is about 15295.5978307486. The cubic root of 233955313 is about 616.1847854933.

The spelling of 233955313 in words is "two hundred thirty-three million, nine hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 61 113 6893 33941 2070401 3835333 233955313