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22124983540 = 225111717933049
BaseRepresentation
bin10100100110110000…
…000111010011110100
32010002221001121122211
4110212300013103310
5330302443433130
614055235103204
71412164154122
oct244660072364
963087047584
1022124983540
119423a81670
124355741b04
132117a0234a
1410dc5d6912
158975baa2a
hex526c074f4

22124983540 has 96 divisors (see below), whose sum is σ = 53969328000. Its totient is φ = 7529656320.

The previous prime is 22124983511. The next prime is 22124983541. The reversal of 22124983540 is 4538942122.

It is a junction number, because it is equal to n+sod(n) for n = 22124983493 and 22124983502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124983541) 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, 652936 + ... + 685984.

It is an arithmetic number, because the mean of its divisors is an integer number (562180500).

Almost surely, 222124983540 is an apocalyptic number.

22124983540 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 22124983540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984664000).

22124983540 is an abundant number, since it is smaller than the sum of its proper divisors (31844344460).

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

22124983540 is a wasteful number, since it uses less digits than its factorization.

22124983540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33265 (or 33263 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 22124983540 in words is "twenty-two billion, one hundred twenty-four million, nine hundred eighty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 179 187 220 340 358 374 716 748 895 935 1790 1870 1969 3043 3580 3740 3938 6086 7876 9845 12172 15215 19690 30430 33049 33473 39380 60860 66098 66946 132196 133892 165245 167365 330490 334730 363539 561833 660980 669460 727078 1123666 1454156 1817695 2247332 2809165 3635390 5618330 5915771 6180163 7270780 11236660 11831542 12360326 23663084 24720652 29578855 30900815 59157710 61801630 65073481 100568107 118315420 123603260 130146962 201136214 260293924 325367405 402272428 502840535 650734810 1005681070 1106249177 1301469620 2011362140 2212498354 4424996708 5531245885 11062491770 22124983540