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22110122000 = 245329381209
BaseRepresentation
bin10100100101110111…
…011011000000010000
32010001220002120110102
4110211313123000100
5330240142401000
614053544351532
71411623636041
oct244567330020
963056076412
1022110122000
1194166509aa
1243507755a8
1321148caa35
1410da6488c8
158961323d5
hex525ddb010

22110122000 has 80 divisors (see below), whose sum is σ = 55305946800. Its totient is φ = 8539059200.

The previous prime is 22110121981. The next prime is 22110122011. The reversal of 22110122000 is 22101122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14973927424 + 7136194576 = 122368^2 + 84476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132605 + ... + 248604.

It is an arithmetic number, because the mean of its divisors is an integer number (691324335).

Almost surely, 222110122000 is an apocalyptic number.

22110122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110122000 is an abundant number, since it is smaller than the sum of its proper divisors (33195824800).

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

22110122000 is a wasteful number, since it uses less digits than its factorization.

22110122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381261 (or 381245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22110122000 its reverse (22101122), we get a palindrome (22132223122).

The spelling of 22110122000 in words is "twenty-two billion, one hundred ten million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 381209 762418 1524836 1906045 3049672 3812090 6099344 7624180 9530225 11055061 15248360 19060450 22110122 30496720 38120900 44220244 47651125 55275305 76241800 88440488 95302250 110550610 152483600 176880976 190604500 221101220 276376525 381209000 442202440 552753050 762418000 884404880 1105506100 1381882625 2211012200 2763765250 4422024400 5527530500 11055061000 22110122000