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200431000 = 235371119137
BaseRepresentation
bin10111111001001…
…01010110011000
3111222010221122101
423330211112120
5402302243000
631515533144
74652430640
oct1374452630
9458127571
10200431000
11a3157860
125715a1b4
13326a8533
141c895520
15128e1e6a
hexbf25598

200431000 has 256 divisors, whose sum is σ = 620006400. Its totient is φ = 58752000.

The previous prime is 200430991. The next prime is 200431013. The reversal of 200431000 is 134002.

It is a super-2 number, since 2×2004310002 = 80345171522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1462932 + ... + 1463068.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 2200431000 is an apocalyptic number.

200431000 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 200431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310003200).

200431000 is an abundant number, since it is smaller than the sum of its proper divisors (419575400).

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

200431000 is a wasteful number, since it uses less digits than its factorization.

200431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200431000 is about 14157.3655741455. The cubic root of 200431000 is about 585.2233301248.

Adding to 200431000 its reverse (134002), we get a palindrome (200565002).

The spelling of 200431000 in words is "two hundred million, four hundred thirty-one thousand".