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201222012200 = 235211909110061
BaseRepresentation
bin1011101101100111000…
…1000011110100101000
3201020101111201100002112
42323121301003310220
511244100313342300
6232235022021452
720352316611536
oct2733161036450
9636344640075
10201222012200
1178379642040
1232bb8a17888
1315c8a54c911
149a4c501156
15537a8abe35
hex2ed9c43d28

201222012200 has 96 divisors (see below), whose sum is σ = 510479068320. Its totient is φ = 73156320000.

The previous prime is 201222012179. The next prime is 201222012209. The reversal of 201222012200 is 2210222102.

201222012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201222012209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19995170 + ... + 20005230.

It is an arithmetic number, because the mean of its divisors is an integer number (5317490295).

Almost surely, 2201222012200 is an apocalyptic number.

201222012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222012200 is an abundant number, since it is smaller than the sum of its proper divisors (309257056120).

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

201222012200 is a wasteful number, since it uses less digits than its factorization.

201222012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19179 (or 19170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201222012200 its reverse (2210222102), we get a palindrome (203432234302).

It can be divided in two parts, 20122 and 2012200, that multiplied together give a square (40489488400 = 2012202).

The spelling of 201222012200 in words is "two hundred one billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 9091 10061 18182 20122 36364 40244 45455 50305 72728 80488 90910 100001 100610 110671 181820 200002 201220 221342 227275 251525 363640 400004 402440 442684 454550 500005 503050 553355 800008 885368 909100 1000010 1006100 1106710 1818200 2000020 2012200 2213420 2500025 2766775 4000040 4426840 5000050 5533550 10000100 11067100 20000200 22134200 91464551 182929102 365858204 457322755 731716408 914645510 1006110061 1829291020 2012220122 2286613775 3658582040 4024440244 4573227550 5030550305 8048880488 9146455100 10061100610 18292910200 20122201220 25152751525 40244402440 50305503050 100611006100 201222012200