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22110112000 = 28531016841
BaseRepresentation
bin10100100101110111…
…011000100100000000
32010001220002001202001
4110211313120210000
5330240142041000
614053544233344
71411623564634
oct244567304400
963056061661
1022110112000
119416644439
12435076b854
1321148c6312
1410da644dc4
1589612e46a
hex525dd8900

22110112000 has 144 divisors (see below), whose sum is σ = 55632520944. Its totient is φ = 8755200000.

The previous prime is 22110111997. The next prime is 22110112001. The reversal of 22110112000 is 21101122.

It can be written as a sum of positive squares in 8 ways, for example, as 681836544 + 21428275456 = 26112^2 + 146384^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22110112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3228580 + ... + 3235420.

It is an arithmetic number, because the mean of its divisors is an integer number (386336951).

Almost surely, 222110112000 is an apocalyptic number.

22110112000 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 22110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816260472).

22110112000 is an abundant number, since it is smaller than the sum of its proper divisors (33522408944).

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

22110112000 is an equidigital number, since it uses as much as digits as its factorization.

22110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22110112000 its reverse (21101122), we get a palindrome (22131213122).

The spelling of 22110112000 in words is "twenty-two billion, one hundred ten million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 128 160 200 202 250 256 320 400 404 500 505 640 800 808 1000 1010 1280 1600 1616 2000 2020 2525 3200 3232 4000 4040 5050 6400 6464 6841 8000 8080 10100 12625 12928 13682 16000 16160 20200 25250 25856 27364 32000 32320 34205 40400 50500 54728 64640 68410 80800 101000 109456 129280 136820 161600 171025 202000 218912 273640 323200 342050 404000 437824 547280 646400 684100 690941 808000 855125 875648 1094560 1368200 1381882 1616000 1710250 1751296 2189120 2736400 2763764 3232000 3420500 3454705 4378240 5472800 5527528 6841000 6909410 8756480 10945600 11055056 13682000 13818820 17273525 21891200 22110112 27364000 27637640 34547050 43782400 44220224 54728000 55275280 69094100 86367625 88440448 109456000 110550560 138188200 172735250 176880896 218912000 221101120 276376400 345470500 442202240 552752800 690941000 884404480 1105505600 1381882000 2211011200 2763764000 4422022400 5527528000 11055056000 22110112000