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203216 = 2413977
BaseRepresentation
bin110001100111010000
3101022202112
4301213100
523000331
64204452
71504316
oct614720
9338675
10203216
11129752
1299728
1371660
14540b6
154032b
hex319d0

203216 has 20 divisors (see below), whose sum is σ = 424452. Its totient is φ = 93696.

The previous prime is 203213. The next prime is 203221. The reversal of 203216 is 612302.

It can be written as a sum of positive squares in 2 ways, for example, as 115600 + 87616 = 340^2 + 296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 203216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281 + ... + 696.

2203216 is an apocalyptic number.

203216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

203216 is an abundant number, since it is smaller than the sum of its proper divisors (221236).

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

203216 is a wasteful number, since it uses less digits than its factorization.

203216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 203216 is about 450.7948535642. The cubic root of 203216 is about 58.7921441986.

Adding to 203216 its reverse (612302), we get a palindrome (815518).

It can be divided in two parts, 2032 and 16, that added together give a 11-th power (2048 = 211).

The spelling of 203216 in words is "two hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 977 1954 3908 7816 12701 15632 25402 50804 101608 203216