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22230121100 = 225211294714827
BaseRepresentation
bin10100101101000001…
…001011101010001100
32010101020220011021112
4110231001023222030
5331011402333400
614113512351152
71414611624455
oct245501135214
963336804245
1022230121100
119478362010
1243849a54b8
132133724415
14110c56412c
158a1937835
hex52d04ba8c

22230121100 has 144 divisors (see below), whose sum is σ = 55601441280. Its totient is φ = 7638355200.

The previous prime is 22230121099. The next prime is 22230121103. The reversal of 22230121100 is 112103222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22230121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1491887 + ... + 1506713.

It is an arithmetic number, because the mean of its divisors is an integer number (386121120).

Almost surely, 222230121100 is an apocalyptic number.

22230121100 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 22230121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27800720640).

22230121100 is an abundant number, since it is smaller than the sum of its proper divisors (33371320180).

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

22230121100 is a wasteful number, since it uses less digits than its factorization.

22230121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14928 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22230121100 its reverse (112103222), we get a palindrome (22342224322).

The spelling of 22230121100 in words is "twenty-two billion, two hundred thirty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 47 50 55 58 94 100 110 116 145 188 220 235 275 290 319 470 517 550 580 638 725 940 1034 1100 1175 1276 1363 1450 1595 2068 2350 2585 2726 2900 3190 4700 5170 5452 6380 6815 7975 10340 12925 13630 14827 14993 15950 25850 27260 29654 29986 31900 34075 51700 59308 59972 68150 74135 74965 136300 148270 149930 163097 296540 299860 326194 370675 374825 429983 652388 696869 741350 749650 815485 859966 1393738 1482700 1499300 1630970 1719932 2149915 2787476 3261940 3484345 4077425 4299830 4729813 6968690 7665559 8154850 8599660 9459626 10749575 13937380 15331118 16309700 17421725 18919252 20209201 21499150 23649065 30662236 34843450 38327795 40418402 42998300 47298130 69686900 76655590 80836804 94596260 101046005 118245325 153311180 191638975 202092010 222301211 236490650 383277950 404184020 444602422 472981300 505230025 766555900 889204844 1010460050 1111506055 2020920100 2223012110 4446024220 5557530275 11115060550 22230121100