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22242114020 = 22571961137077
BaseRepresentation
bin10100101101101110…
…111011100111100100
32010102002110110110202
4110231232323213210
5331022440122040
614115021410032
71415115564320
oct245556734744
963362413422
1022242114020
119484103515
124388a09918
132136063119
14110dda6980
158a2a06015
hex52dbbb9e4

22242114020 has 96 divisors (see below), whose sum is σ = 57112177920. Its totient is φ = 7106019840.

The previous prime is 22242113969. The next prime is 22242114031. The reversal of 22242114020 is 2041124222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22242113983 and 22242114001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93722 + ... + 230798.

It is an arithmetic number, because the mean of its divisors is an integer number (594918520).

Almost surely, 222242114020 is an apocalyptic number.

22242114020 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 22242114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28556088960).

22242114020 is an abundant number, since it is smaller than the sum of its proper divisors (34870063900).

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

22242114020 is a wasteful number, since it uses less digits than its factorization.

22242114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137173 (or 137171 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22242114020 its reverse (2041124222), we get a palindrome (24283238242).

The spelling of 22242114020 in words is "twenty-two billion, two hundred forty-two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 61 70 76 95 122 133 140 190 244 266 305 380 427 532 610 665 854 1159 1220 1330 1708 2135 2318 2660 4270 4636 5795 8113 8540 11590 16226 23180 32452 40565 81130 137077 162260 274154 548308 685385 959539 1370770 1919078 2604463 2741540 3838156 4797695 5208926 8361697 9595390 10417852 13022315 16723394 18231241 19190780 26044630 33446788 36462482 41808485 52089260 58531879 72924964 83616970 91156205 117063758 158872243 167233940 182312410 234127516 292659395 317744486 364624820 585318790 635488972 794361215 1112105701 1170637580 1588722430 2224211402 3177444860 4448422804 5560528505 11121057010 22242114020