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203238252 = 223275315217
BaseRepresentation
bin11000001110100…
…10101101101100
3112011102120110200
430013102231230
5404012111002
632100033500
75015332230
oct1407225554
9464376420
10203238252
11a47a49a8
1258092890
133314c229
141cdc65c0
1512c98b1c
hexc1d2b6c

203238252 has 72 divisors (see below), whose sum is σ = 598250016. Its totient is φ = 56968704.

The previous prime is 203238251. The next prime is 203238283. The reversal of 203238252 is 252832302.

203238252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203238251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5748 + ... + 20964.

It is an arithmetic number, because the mean of its divisors is an integer number (8309028).

Almost surely, 2203238252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203238252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299125008).

203238252 is an abundant number, since it is smaller than the sum of its proper divisors (395011764).

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

203238252 is a wasteful number, since it uses less digits than its factorization.

203238252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15287 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 203238252 is about 14256.1654030809. The cubic root of 203238252 is about 587.9429001890.

The spelling of 203238252 in words is "two hundred three million, two hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3339 4452 6678 13356 15217 30434 45651 60868 91302 106519 136953 182604 213038 273906 319557 426076 547812 639114 806501 958671 1278228 1613002 1917342 2419503 3226004 3834684 4839006 5645507 7258509 9678012 11291014 14517018 16936521 22582028 29034036 33873042 50809563 67746084 101619126 203238252