Search a number
-
+
203200844 = 2272113072
BaseRepresentation
bin11000001110010…
…01100101001100
3112011100200011012
430013021211030
5404004411334
632055144352
75015115200
oct1407114514
9464320135
10203200844
11a4779890
12580750b8
13331381b2
141cdb6b00
1512c8c9ce
hexc1c994c

203200844 has 54 divisors (see below), whose sum is σ = 452738916. Its totient is φ = 78911280.

The previous prime is 203200831. The next prime is 203200859. The reversal of 203200844 is 448002302.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 661739 + ... + 662045.

It is an arithmetic number, because the mean of its divisors is an integer number (8384054).

Almost surely, 2203200844 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 203200844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226369458).

203200844 is an abundant number, since it is smaller than the sum of its proper divisors (249538072).

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

203200844 is a wasteful number, since it uses less digits than its factorization.

203200844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 203200844 is about 14254.8533489475. The cubic root of 203200844 is about 587.9068257504.

The spelling of 203200844 in words is "two hundred three million, two hundred thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 307 308 539 614 1078 1228 2149 2156 3377 4298 6754 8596 13508 15043 23639 30086 47278 60172 94249 94556 165473 188498 330946 376996 659743 661892 1036739 1319486 2073478 2638972 4146956 4618201 7257173 9236402 14514346 18472804 29028692 50800211 101600422 203200844