Search a number
-
+
200779992 = 233371929241
BaseRepresentation
bin10111111011110…
…10100011011000
3111222210200101000
423331322203120
5402344424432
631531225000
74655413260
oct1375724330
9458720330
10200779992
11a3375a86
12572a8160
133279b33a
141c9467a0
151296057c
hexbf7a8d8

200779992 has 256 divisors, whose sum is σ = 696960000. Its totient is φ = 52254720.

The previous prime is 200779991. The next prime is 200780017. The reversal of 200779992 is 299977002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200779991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 832992 + ... + 833232.

It is an arithmetic number, because the mean of its divisors is an integer number (2722500).

Almost surely, 2200779992 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 200779992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348480000).

200779992 is an abundant number, since it is smaller than the sum of its proper divisors (496180008).

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

200779992 is a wasteful number, since it uses less digits than its factorization.

200779992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 200779992 is about 14169.6856704727. The cubic root of 200779992 is about 585.5627982951.

The spelling of 200779992 in words is "two hundred million, seven hundred seventy-nine thousand, nine hundred ninety-two".