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22244320120 = 23511139401907
BaseRepresentation
bin10100101101110111…
…010110001101111000
32010102020121112200011
4110231313112031320
5331024021220440
614115140551304
71415143413151
oct245567261570
963366545604
1022244320120
11948537aa40
1243896b2534
1321366562c9
1411103bc928
158a2cde9ea
hex52ddd6378

22244320120 has 128 divisors (see below), whose sum is σ = 55190419200. Its totient is φ = 8001792000.

The previous prime is 22244320081. The next prime is 22244320127. The reversal of 22244320120 is 2102344222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22244320091 and 22244320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24524707 + ... + 24525613.

It is an arithmetic number, because the mean of its divisors is an integer number (431175150).

Almost surely, 222244320120 is an apocalyptic number.

22244320120 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 22244320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595209600).

22244320120 is an abundant number, since it is smaller than the sum of its proper divisors (32946099080).

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

22244320120 is a wasteful number, since it uses less digits than its factorization.

22244320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22244320120 its reverse (2102344222), we get a palindrome (24346664342).

The spelling of 22244320120 in words is "twenty-two billion, two hundred forty-four million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 139 220 278 401 440 556 695 802 907 1112 1390 1529 1604 1814 2005 2780 3058 3208 3628 4010 4411 4535 5560 6116 7256 7645 8020 8822 9070 9977 12232 15290 16040 17644 18140 19954 22055 30580 35288 36280 39908 44110 49885 55739 61160 79816 88220 99770 111478 126073 176440 199540 222956 252146 278695 363707 399080 445912 504292 557390 613129 630365 727414 1008584 1114780 1226258 1260730 1386803 1454828 1818535 2229560 2452516 2521460 2773606 2909656 3065645 3637070 4000777 4905032 5042920 5547212 6131290 6934015 7274140 8001554 11094424 12262580 13868030 14548280 16003108 20003885 24525160 27736060 32006216 40007770 50555273 55472120 80015540 101110546 160031080 202221092 252776365 404442184 505552730 556108003 1011105460 1112216006 2022210920 2224432012 2780540015 4448864024 5561080030 11122160060 22244320120