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233993385 = 3255199853
BaseRepresentation
bin11011111001001…
…11010010101001
3121022022002120200
431330213102221
5434400242020
635115142413
75540624313
oct1574472251
9538262520
10233993385
111100a076a
1266444a09
1339629b32
14231107b3
1515821590
hexdf274a9

233993385 has 12 divisors (see below), whose sum is σ = 405588612. Its totient is φ = 124796448.

The previous prime is 233993369. The next prime is 233993387. The reversal of 233993385 is 583399332.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 116899344 + 117094041 = 10812^2 + 10821^2 .

It is not a de Polignac number, because 233993385 - 24 = 233993369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 5199853 = 233993385 / (2 + 3 + 3 + 9 + 9 + 3 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 233993385.

It is not an unprimeable number, because it can be changed into a prime (233993387) 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, 2599882 + ... + 2599971.

It is an arithmetic number, because the mean of its divisors is an integer number (33799051).

Almost surely, 2233993385 is an apocalyptic number.

It is an amenable number.

233993385 is a deficient number, since it is larger than the sum of its proper divisors (171595227).

233993385 is a wasteful number, since it uses less digits than its factorization.

233993385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199864 (or 5199861 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 233993385 is about 15296.8423212113. The cubic root of 233993385 is about 616.2182079939.

The spelling of 233993385 in words is "two hundred thirty-three million, nine hundred ninety-three thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 5199853 15599559 25999265 46798677 77997795 233993385