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200312200 = 235211831097
BaseRepresentation
bin10111111000010…
…00010110001000
3111221220220200101
423330020112020
5402234442300
631513215144
74651424404
oct1374102610
9457826611
10200312200
11a3086580
12571014b4
133266643a
141c864104
15128bbb6a
hexbf08588

200312200 has 96 divisors (see below), whose sum is σ = 514654560. Its totient is φ = 71897600.

The previous prime is 200312179. The next prime is 200312209. The reversal of 200312200 is 2213002.

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

It is not an unprimeable number, because it can be changed into a prime (200312209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182052 + ... + 183148.

It is an arithmetic number, because the mean of its divisors is an integer number (5360985).

Almost surely, 2200312200 is an apocalyptic number.

200312200 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 200312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257327280).

200312200 is an abundant number, since it is smaller than the sum of its proper divisors (314342360).

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

200312200 is a wasteful number, since it uses less digits than its factorization.

200312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1198 counting only the distinct ones).

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

The square root of 200312200 is about 14153.1692563892. The cubic root of 200312200 is about 585.1076822254.

Adding to 200312200 its reverse (2213002), we get a palindrome (202525202).

The spelling of 200312200 in words is "two hundred million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 166 200 220 275 332 415 440 550 664 830 913 1097 1100 1660 1826 2075 2194 2200 3320 3652 4150 4388 4565 5485 7304 8300 8776 9130 10970 12067 16600 18260 21940 22825 24134 27425 36520 43880 45650 48268 54850 60335 91051 91300 96536 109700 120670 182102 182600 219400 241340 301675 364204 455255 482680 603350 728408 910510 1001561 1206700 1821020 2003122 2276275 2413400 3642040 4006244 4552550 5007805 8012488 9105100 10015610 18210200 20031220 25039025 40062440 50078050 100156100 200312200