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201222122200 = 235211319073253
BaseRepresentation
bin1011101101100111000…
…1011110101011011000
3201020101111220220222121
42323121301132223120
511244100330402300
6232235024231024
720352320550331
oct2733161365330
9636344826877
10201222122200
1178379707750
1232bb8a6b474
1315c8a58a9c8
149a4c52d288
15537a8ce81a
hex2ed9c5ead8

201222122200 has 192 divisors, whose sum is σ = 527579089920. Its totient is φ = 70711488000.

The previous prime is 201222122159. The next prime is 201222122221. The reversal of 201222122200 is 2221222102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61855774 + ... + 61859026.

It is an arithmetic number, because the mean of its divisors is an integer number (2747807760).

Almost surely, 2201222122200 is an apocalyptic number.

201222122200 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 201222122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263789544960).

201222122200 is an abundant number, since it is smaller than the sum of its proper divisors (326356967720).

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

201222122200 is a wasteful number, since it uses less digits than its factorization.

201222122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201222122200 its reverse (2221222102), we get a palindrome (203443344302).

The spelling of 201222122200 in words is "two hundred one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".