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2200221222100 = 22521119913100447
BaseRepresentation
bin100000000001000111011…
…001111000010011010100
321210100011012101210010121
4200001013121320103110
5242022023113101400
64402433452401324
7314650350545326
oct40010731702324
97710135353117
102200221222100
1177912157a470
122b6501776244
1312c63165b2a5
14786c40b9616
153c375a9e21a
hex200476784d4

2200221222100 has 72 divisors (see below), whose sum is σ = 5208837113088. Its totient is φ = 800032300800.

The previous prime is 2200221222079. The next prime is 2200221222103. The reversal of 2200221222100 is 12221220022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200221222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21854077 + ... + 21954523.

It is an arithmetic number, because the mean of its divisors is an integer number (72344959904).

Almost surely, 22200221222100 is an apocalyptic number.

2200221222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200221222100 is an abundant number, since it is smaller than the sum of its proper divisors (3008615890988).

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

2200221222100 is a wasteful number, since it uses less digits than its factorization.

2200221222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120385 (or 120378 counting only the distinct ones).

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

Adding to 2200221222100 its reverse (12221220022), we get a palindrome (2212442442122).

The spelling of 2200221222100 in words is "two trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 19913 39826 79652 99565 100447 199130 200894 219043 398260 401788 438086 497825 502235 876172 995650 1004470 1095215 1104917 1991300 2008940 2190430 2209834 2511175 4380860 4419668 5022350 5476075 5524585 10044700 10952150 11049170 21904300 22098340 27622925 55245850 110491700 2000201111 4000402222 8000804444 10001005555 20002011110 22002212221 40004022220 44004424442 50005027775 88008848884 100010055550 110011061105 200020111100 220022122210 440044244420 550055305525 1100110611050 2200221222100