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200112200 = 23521576373
BaseRepresentation
bin10111110110101…
…11100001001000
3111221112202022222
423323113201020
5402212042300
631505033212
74646632331
oct1373274110
9457482288
10200112200
11a2a5a292
1257025808
13325c63b2
141c811288
151287c785
hexbed7848

200112200 has 48 divisors (see below), whose sum is σ = 468297780. Its totient is φ = 79522560.

The previous prime is 200112197. The next prime is 200112203. The reversal of 200112200 is 2211002.

It is an interprime number because it is at equal distance from previous prime (200112197) and next prime (200112203).

It can be written as a sum of positive squares in 6 ways, for example, as 86007076 + 114105124 = 9274^2 + 10682^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (200112203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28214 + ... + 34586.

Almost surely, 2200112200 is an apocalyptic number.

200112200 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 200112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234148890).

200112200 is an abundant number, since it is smaller than the sum of its proper divisors (268185580).

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

200112200 is a wasteful number, since it uses less digits than its factorization.

200112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 200112200 is about 14146.1019365760. The cubic root of 200112200 is about 584.9128854624.

Adding to 200112200 its reverse (2211002), we get a palindrome (202323202).

The spelling of 200112200 in words is "two hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 6373 7850 12746 15700 25492 31400 31865 50984 63730 127460 159325 254920 318650 637300 1000561 1274600 2001122 4002244 5002805 8004488 10005610 20011220 25014025 40022440 50028050 100056100 200112200