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200212011200 = 2652263475789
BaseRepresentation
bin1011101001110110010…
…0001101100011000000
3201010210010012222012002
42322131210031203000
511240013233324300
6231550502123132
720315304005315
oct2723544154300
9633703188162
10200212011200
1177a00508373
12329767204a8
1315b592205a6
14999430cd0c
15531bda25d5
hex2e9d90d8c0

200212011200 has 84 divisors (see below), whose sum is σ = 494520900720. Its totient is φ = 79780131840.

The previous prime is 200212011179. The next prime is 200212011203. The reversal of 200212011200 is 2110212002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200212011203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182906 + ... + 658694.

It is an arithmetic number, because the mean of its divisors is an integer number (5887153580).

Almost surely, 2200212011200 is an apocalyptic number.

200212011200 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 200212011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247260450360).

200212011200 is an abundant number, since it is smaller than the sum of its proper divisors (294308889520).

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

200212011200 is a wasteful number, since it uses less digits than its factorization.

200212011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476074 (or 476059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200212011200 its reverse (2110212002), we get a palindrome (202322223202).

The spelling of 200212011200 in words is "two hundred billion, two hundred twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 263 320 400 526 800 1052 1315 1600 2104 2630 4208 5260 6575 8416 10520 13150 16832 21040 26300 42080 52600 84160 105200 210400 420800 475789 951578 1903156 2378945 3806312 4757890 7612624 9515780 11894725 15225248 19031560 23789450 30450496 38063120 47578900 76126240 95157800 125132507 152252480 190315600 250265014 380631200 500530028 625662535 761262400 1001060056 1251325070 2002120112 2502650140 3128312675 4004240224 5005300280 6256625350 8008480448 10010600560 12513250700 20021201120 25026501400 40042402240 50053002800 100106005600 200212011200