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201222302200 = 235237211128873
BaseRepresentation
bin1011101101100111001…
…0001010100111111000
3201020101112021001220021
42323121302022213320
511244100402132300
6232235032140224
720352322230163
oct2733162124770
9636345231807
10201222302200
117837981aa07
1232bb8b37674
1315c8a62190a
149a4c578ada
15537a917d1a
hex2ed9c8a9f8

201222302200 has 96 divisors (see below), whose sum is σ = 482767158960. Its totient is φ = 77941785600.

The previous prime is 201222302191. The next prime is 201222302219. The reversal of 201222302200 is 2203222102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496964 + ... + 1625836.

Almost surely, 2201222302200 is an apocalyptic number.

201222302200 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 201222302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241383579480).

201222302200 is an abundant number, since it is smaller than the sum of its proper divisors (281544856760).

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

201222302200 is a wasteful number, since it uses less digits than its factorization.

201222302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129137 (or 129128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201222302200 its reverse (2203222102), we get a palindrome (203425524302).

The spelling of 201222302200 in words is "two hundred one billion, two hundred twenty-two million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 211 296 370 422 740 844 925 1055 1480 1688 1850 2110 3700 4220 5275 7400 7807 8440 10550 15614 21100 31228 39035 42200 62456 78070 128873 156140 195175 257746 312280 390350 515492 644365 780700 1030984 1288730 1561400 2577460 3221825 4768301 5154920 6443650 9536602 12887300 19073204 23841505 25774600 27192203 38146408 47683010 54384406 95366020 108768812 119207525 135961015 190732040 217537624 238415050 271922030 476830100 543844060 679805075 953660200 1006111511 1087688120 1359610150 2012223022 2719220300 4024446044 5030557555 5438440600 8048892088 10061115110 20122230220 25152787775 40244460440 50305575550 100611151100 201222302200