Search a number
-
+
200491200 = 26345271317
BaseRepresentation
bin10111111001101…
…00000011000000
3111222021000020000
423330310003000
5402311204300
631521120000
74653101310
oct1374640300
9458230200
10200491200
11a3199008
1257189000
13326c9a60
141c8ad440
1512904c00
hexbf340c0

200491200 has 840 divisors, whose sum is σ = 960376032. Its totient is φ = 39813120.

The previous prime is 200491171. The next prime is 200491223. The reversal of 200491200 is 2194002.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11793592 + ... + 11793608.

Almost surely, 2200491200 is an apocalyptic number.

200491200 is a gapful number since it is divisible by the number (20) 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 200491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480188016).

200491200 is an abundant number, since it is smaller than the sum of its proper divisors (759884832).

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

200491200 is a wasteful number, since it uses less digits than its factorization.

200491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200491200 is about 14159.4915162939. The cubic root of 200491200 is about 585.2819154033.

The spelling of 200491200 in words is "two hundred million, four hundred ninety-one thousand, two hundred".