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200103200 = 25521122739
BaseRepresentation
bin10111110110101…
…01010100100000
3111221112021222122
423323111110200
5402211300300
631504523412
74646564153
oct1373252440
9457467878
10200103200
11a2a53550
1257020568
13325c227b
141c80bc9a
1512879c85
hexbed5520

200103200 has 72 divisors (see below), whose sum is σ = 532934640. Its totient is φ = 72761600.

The previous prime is 200103187. The next prime is 200103203. The reversal of 200103200 is 2301002.

200103200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (200103203) 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, 2570 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (7401870).

Almost surely, 2200103200 is an apocalyptic number.

200103200 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 200103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266467320).

200103200 is an abundant number, since it is smaller than the sum of its proper divisors (332831440).

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

200103200 is a wasteful number, since it uses less digits than its factorization.

200103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22770 (or 22757 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200103200 is about 14145.7838241647. The cubic root of 200103200 is about 584.9041165569.

Adding to 200103200 its reverse (2301002), we get a palindrome (202404202).

The spelling of 200103200 in words is "two hundred million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 22739 45478 90956 113695 181912 227390 250129 363824 454780 500258 568475 727648 909560 1000516 1136950 1250645 1819120 2001032 2273900 2501290 3638240 4002064 4547800 5002580 6253225 8004128 9095600 10005160 12506450 18191200 20010320 25012900 40020640 50025800 100051600 200103200