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233503213 = 53101181241
BaseRepresentation
bin11011110101011…
…11100111101101
3121021101012012011
431322233213231
5434234100323
635100441221
75533513246
oct1572574755
9537335164
10233503213
1110a896469
1266249211
13394b79a8
1423023ccd
151577620d
hexdeaf9ed

233503213 has 16 divisors (see below), whose sum is σ = 242594352. Its totient is φ = 224640000.

The previous prime is 233503187. The next prime is 233503247. The reversal of 233503213 is 312305332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9162729 + 224340484 = 3027^2 + 14978^2 .

It is a cyclic number.

It is not a de Polignac number, because 233503213 - 213 = 233495021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233503013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968773 + ... + 969013.

It is an arithmetic number, because the mean of its divisors is an integer number (15162147).

Almost surely, 2233503213 is an apocalyptic number.

It is an amenable number.

233503213 is a deficient number, since it is larger than the sum of its proper divisors (9091139).

233503213 is a wasteful number, since it uses less digits than its factorization.

233503213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 233503213 is about 15280.8119221460. The cubic root of 233503213 is about 615.7876202205.

Adding to 233503213 its reverse (312305332), we get a palindrome (545808545).

The spelling of 233503213 in words is "two hundred thirty-three million, five hundred three thousand, two hundred thirteen".

Divisors: 1 53 101 181 241 5353 9593 12773 18281 24341 43621 968893 1290073 2311913 4405721 233503213