Search a number
-
+
200924031 = 37111945779
BaseRepresentation
bin10111111100111…
…01101101111111
3112000001222221210
423332131231333
5402414032111
631534255503
74656553230
oct1376355577
9460058853
10200924031
11a3464220
1257357593
133281ba79
141c983087
151298d0a6
hexbf9db7f

200924031 has 32 divisors (see below), whose sum is σ = 351590400. Its totient is φ = 98880480.

The previous prime is 200924029. The next prime is 200924041. The reversal of 200924031 is 130429002.

It is not a de Polignac number, because 200924031 - 21 = 200924029 is a prime.

It is a super-2 number, since 2×2009240312 = 80740932466577922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 200923989 and 200924007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200924041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18501 + ... + 27278.

It is an arithmetic number, because the mean of its divisors is an integer number (10987200).

Almost surely, 2200924031 is an apocalyptic number.

200924031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200924031 is a deficient number, since it is larger than the sum of its proper divisors (150666369).

200924031 is a wasteful number, since it uses less digits than its factorization.

200924031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45819.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 200924031 is about 14174.7674054991. The cubic root of 200924031 is about 585.7027918568.

The spelling of 200924031 in words is "two hundred million, nine hundred twenty-four thousand, thirty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 45779 137337 320453 503569 869801 961359 1510707 2609403 3524983 6088607 9567811 10574949 18265821 28703433 66974677 200924031