Search a number
-
+
203321248 = 25134710399
BaseRepresentation
bin11000001111001…
…10111110100000
3112011120210022121
430013212332200
5404022234443
632101514024
75016126214
oct1407467640
9464523277
10203321248
11a4851299
1258112914
133317ac40
141d008944
1512cb34ed
hexc1e6fa0

203321248 has 48 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 91835136.

The previous prime is 203321231. The next prime is 203321249. The reversal of 203321248 is 842123302.

203321248 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 (203321249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14353 + ... + 24751.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2203321248 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 203321248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

203321248 is an abundant number, since it is smaller than the sum of its proper divisors (236973152).

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

203321248 is a wasteful number, since it uses less digits than its factorization.

203321248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 203321248 is about 14259.0759868934. The cubic root of 203321248 is about 588.0229216542.

The spelling of 203321248 in words is "two hundred three million, three hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 10399 19552 20798 41596 83192 135187 166384 270374 332768 488753 540748 977506 1081496 1955012 2162992 3910024 4325984 6353789 7820048 12707578 15640096 25415156 50830312 101660624 203321248