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201200200 = 23521039767
BaseRepresentation
bin10111111111000…
…01001001001000
3112000121000210021
423333201021020
5403001401300
631544230224
74662113335
oct1377411110
9460530707
10201200200
11a3632763
125746b374
13328b7696
141ca1598c
15129e4d1a
hexbfe1248

201200200 has 48 divisors (see below), whose sum is σ = 472380480. Its totient is φ = 79690560.

The previous prime is 201200183. The next prime is 201200221. The reversal of 201200200 is 2002102.

It is a happy number.

201200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15717 + ... + 25483.

It is an arithmetic number, because the mean of its divisors is an integer number (9841260).

Almost surely, 2201200200 is an apocalyptic number.

201200200 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 201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236190240).

201200200 is an abundant number, since it is smaller than the sum of its proper divisors (271180280).

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

201200200 is a wasteful number, since it uses less digits than its factorization.

201200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9886 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 201200200 is about 14184.5056311456. The cubic root of 201200200 is about 585.9710174486.

Adding to 201200200 its reverse (2002102), we get a palindrome (203202302).

The spelling of 201200200 in words is "two hundred one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 200 206 412 515 824 1030 2060 2575 4120 5150 9767 10300 19534 20600 39068 48835 78136 97670 195340 244175 390680 488350 976700 1006001 1953400 2012002 4024004 5030005 8048008 10060010 20120020 25150025 40240040 50300050 100600100 201200200