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22120232200 = 23521110199551
BaseRepresentation
bin10100100110011101…
…111111010100001000
32010002121010020001021
4110212131333110020
5330300234412300
614054545202224
71412105604613
oct244635772410
963077106037
1022120232200
119421326940
124354030374
132116a2a7c1
1410dbb1b17a
15896e7cd1a
hex52677f508

22120232200 has 96 divisors (see below), whose sum is σ = 56661016320. Its totient is φ = 7964000000.

The previous prime is 22120232149. The next prime is 22120232201. The reversal of 22120232200 is 223202122.

It is not an unprimeable number, because it can be changed into a prime (22120232201) 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, 172425 + ... + 271975.

It is an arithmetic number, because the mean of its divisors is an integer number (590218920).

Almost surely, 222120232200 is an apocalyptic number.

22120232200 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 22120232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28330508160).

22120232200 is an abundant number, since it is smaller than the sum of its proper divisors (34540784120).

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

22120232200 is a wasteful number, since it uses less digits than its factorization.

22120232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99679 (or 99670 counting only the distinct ones).

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

Adding to 22120232200 its reverse (223202122), we get a palindrome (22343434322).

The spelling of 22120232200 in words is "twenty-two billion, one hundred twenty million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 99551 111100 199102 222200 398204 497755 796408 995510 1095061 1991020 2190122 2488775 3982040 4380244 4977550 5475305 8760488 9955100 10054651 10950610 19910200 20109302 21901220 27376525 40218604 43802440 50273255 54753050 80437208 100546510 109506100 110601161 201093020 219012200 221202322 251366275 402186040 442404644 502732550 553005805 884809288 1005465100 1106011610 2010930200 2212023220 2765029025 4424046440 5530058050 11060116100 22120232200