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22230132100 = 22521125931139
BaseRepresentation
bin10100101101000001…
…001110010110000100
32010101020220201100221
4110231001032112010
5331011403211400
614113512514124
71414612001521
oct245501162604
963336821327
1022230132100
11947836a300
1243849ab944
132133729427
14110c568148
158a193ac1a
hex52d04e584

22230132100 has 108 divisors (see below), whose sum is σ = 53923892400. Its totient is φ = 7946417600.

The previous prime is 22230132073. The next prime is 22230132103. The reversal of 22230132100 is 123103222.

It is not an unprimeable number, because it can be changed into a prime (22230132103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698331 + ... + 729469.

It is an arithmetic number, because the mean of its divisors is an integer number (499295300).

Almost surely, 222230132100 is an apocalyptic number.

22230132100 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 22230132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26961946200).

22230132100 is an abundant number, since it is smaller than the sum of its proper divisors (31693760300).

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

22230132100 is a wasteful number, since it uses less digits than its factorization.

22230132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31234 (or 31216 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22230132100 its reverse (123103222), we get a palindrome (22353235322).

The spelling of 22230132100 in words is "twenty-two billion, two hundred thirty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 121 220 236 242 275 295 484 550 590 605 649 1100 1180 1210 1298 1475 2420 2596 2950 3025 3245 5900 6050 6490 7139 12100 12980 14278 16225 28556 31139 32450 35695 62278 64900 71390 124556 142780 155695 178475 311390 342529 356950 622780 685058 713900 778475 1370116 1556950 1712645 1837201 3113900 3425290 3674402 3767819 6850580 7348804 7535638 8563225 9186005 15071276 17126450 18372010 18839095 20209211 34252900 36744020 37678190 40418422 45930025 75356380 80836844 91860050 94195475 101046055 183720100 188390950 202092110 222301321 376781900 404184220 444602642 505230275 889205284 1010460550 1111506605 2020921100 2223013210 4446026420 5557533025 11115066050 22230132100