Search a number
-
+
200218944 = 2632414327
BaseRepresentation
bin10111110111100…
…01100101000000
3111221202011202110
423323301211000
5402224001234
631511215320
74650555462
oct1373614500
9457664673
10200218944
11a3022502
1257077540
1332632b63
141c83c132
151289e1e9
hexbef1940

200218944 has 56 divisors (see below), whose sum is σ = 532067008. Its totient is φ = 66447360.

The previous prime is 200218927. The next prime is 200218973. The reversal of 200218944 is 449812002.

200218944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44109 + ... + 48435.

Almost surely, 2200218944 is an apocalyptic number.

200218944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266033504).

200218944 is an abundant number, since it is smaller than the sum of its proper divisors (331848064).

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

200218944 is a wasteful number, since it uses less digits than its factorization.

200218944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 200218944 is about 14149.8743457318. The cubic root of 200218944 is about 585.0168685325.

The spelling of 200218944 in words is "two hundred million, two hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3856 4327 5784 7712 8654 11568 12981 15424 17308 23136 25962 34616 46272 51924 69232 103848 138464 207696 276928 415392 830784 1042807 2085614 3128421 4171228 6256842 8342456 12513684 16684912 25027368 33369824 50054736 66739648 100109472 200218944