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22440110112 = 2532753210019
BaseRepresentation
bin10100111001100010…
…001110100000100000
32010220220000201001100
4110321202032200200
5331424132010422
614150413234400
71423041534360
oct247142164040
963826021040
1022440110112
119575947952
124423192a00
132168098284
14112c3c69a0
158b50b67ac
hex53988e820

22440110112 has 144 divisors (see below), whose sum is σ = 74306756160. Its totient is φ = 6290459136.

The previous prime is 22440110111. The next prime is 22440110117. The reversal of 22440110112 is 21101104422.

22440110112 is a `hidden beast` number, since 2 + 2 + 440 + 110 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22440110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839 + ... + 211857.

It is an arithmetic number, because the mean of its divisors is an integer number (516019140).

Almost surely, 222440110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22440110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37153378080).

22440110112 is an abundant number, since it is smaller than the sum of its proper divisors (51866646048).

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

22440110112 is a wasteful number, since it uses less digits than its factorization.

22440110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210095 (or 210084 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22440110112 its reverse (21101104422), we get a palindrome (43541214534).

The spelling of 22440110112 in words is "twenty-two billion, four hundred forty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 53424 106848 210019 420038 630057 840076 1260114 1470133 1680152 1890171 2520228 2940266 3360304 3780342 4410399 5040456 5880532 6720608 7560684 8820798 10080912 11131007 11761064 13231197 15121368 17641596 20161824 22262014 23522128 26462394 30242736 33393021 35283192 44524028 47044256 52924788 60485472 66786042 70566384 77917049 89048056 100179063 105849576 133572084 141132768 155834098 178096112 200358126 211699152 233751147 267144168 311668196 356192224 400716252 423398304 467502294 534288336 623336392 701253441 801432504 935004588 1068576672 1246672784 1402506882 1602865008 1870009176 2493345568 2805013764 3205730016 3740018352 5610027528 7480036704 11220055056 22440110112