Search a number
-
+
203322208 = 2523212011
BaseRepresentation
bin11000001111001…
…11001101100000
3112011120211122011
430013213031200
5404022302313
632101522304
75016132055
oct1407471540
9464524564
10203322208
11a4851a91
1258113394
133317b4cb
141d00902c
1512cb393d
hexc1e7360

203322208 has 36 divisors (see below), whose sum is σ = 418486068. Its totient is φ = 97232960.

The previous prime is 203322181. The next prime is 203322233. The reversal of 203322208 is 802223302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10923 + ... + 22933.

It is an arithmetic number, because the mean of its divisors is an integer number (11624613).

Almost surely, 2203322208 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 203322208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209243034).

203322208 is an abundant number, since it is smaller than the sum of its proper divisors (215163860).

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

203322208 is a wasteful number, since it uses less digits than its factorization.

203322208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12036 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 203322208 is about 14259.1096496240. The cubic root of 203322208 is about 588.0238471208.

The spelling of 203322208 in words is "two hundred three million, three hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 12011 16928 24022 48044 96088 192176 276253 384352 552506 1105012 2210024 4420048 6353819 8840096 12707638 25415276 50830552 101661104 203322208