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203238 = 23271613
BaseRepresentation
bin110001100111100110
3101022210100
4301213212
523000423
64204530
71504350
oct614746
9338710
10203238
11129772
1299746
1371679
14540d0
1540343
hex319e6

203238 has 24 divisors (see below), whose sum is σ = 503568. Its totient is φ = 58032.

The previous prime is 203233. The next prime is 203249. The reversal of 203238 is 832302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 25 + 0 + 217 + 39 + 39 + 85 .

It is a self number, because there is not a number n which added to its sum of digits gives 203238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203233) 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, 681 + ... + 932.

It is an arithmetic number, because the mean of its divisors is an integer number (20982).

2203238 is an apocalyptic number.

203238 is an abundant number, since it is smaller than the sum of its proper divisors (300330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203238 is a wasteful number, since it uses less digits than its factorization.

203238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203238 is about 450.8192542472. The cubic root of 203238 is about 58.7942657187.

It can be divided in two parts, 203 and 238, that added together give a square (441 = 212).

The spelling of 203238 in words is "two hundred three thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1613 3226 4839 9678 11291 14517 22582 29034 33873 67746 101619 203238