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203085253 = 729534349
BaseRepresentation
bin11000001101011…
…01010111000101
3112011010210121001
430012231113011
5403442212003
632052453301
75014124200
oct1406552705
9464123531
10203085253
11a46aaa58
125801a231
13330c76b7
141cd86937
1512c6861d
hexc1ad5c5

203085253 has 12 divisors (see below), whose sum is σ = 236544300. Its totient is φ = 173850432.

The previous prime is 203085217. The next prime is 203085263. The reversal of 203085253 is 352580302.

203085253 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 2 ways, for example, as 34656769 + 168428484 = 5887^2 + 12978^2 .

It is not a de Polignac number, because 203085253 - 221 = 200988101 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 (203085263) 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, 44523 + ... + 48871.

It is an arithmetic number, because the mean of its divisors is an integer number (19712025).

Almost surely, 2203085253 is an apocalyptic number.

It is an amenable number.

203085253 is a deficient number, since it is larger than the sum of its proper divisors (33459047).

203085253 is an equidigital number, since it uses as much as digits as its factorization.

203085253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 203085253 is about 14250.7983285148. The cubic root of 203085253 is about 587.7953274804.

The spelling of 203085253 in words is "two hundred three million, eighty-five thousand, two hundred fifty-three".

Divisors: 1 7 49 953 4349 6671 30443 46697 213101 4144597 29012179 203085253