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22550521440 = 2535193243421
BaseRepresentation
bin10101000000000111…
…011010011001100000
32011012120210011220210
4111000013122121200
5332140413141230
614205355534120
71425552161316
oct250007323140
964176704823
1022550521440
1196221aa587
12445415a340
132184c15915
14113cd280b6
158beb25eb0
hex5401da660

22550521440 has 96 divisors (see below), whose sum is σ = 71402488416. Its totient is φ = 5982289920.

The previous prime is 22550521439. The next prime is 22550521451. The reversal of 22550521440 is 4412505522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22550521398 and 22550521407.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29071 + ... + 214350.

It is an arithmetic number, because the mean of its divisors is an integer number (743775921).

Almost surely, 222550521440 is an apocalyptic number.

22550521440 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 22550521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35701244208).

22550521440 is an abundant number, since it is smaller than the sum of its proper divisors (48851966976).

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

22550521440 is a wasteful number, since it uses less digits than its factorization.

22550521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243632 (or 243624 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 22550521440 in words is "twenty-two billion, five hundred fifty million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 772 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7720 9264 11580 15440 18528 23160 30880 46320 92640 243421 486842 730263 973684 1217105 1460526 1947368 2434210 2921052 3651315 3894736 4868420 5842104 7302630 7789472 9736840 11684208 14605260 19473680 23368416 29210520 38947360 46980253 58421040 93960506 116842080 140940759 187921012 234901265 281881518 375842024 469802530 563763036 704703795 751684048 939605060 1127526072 1409407590 1503368096 1879210120 2255052144 2818815180 3758420240 4510104288 5637630360 7516840480 11275260720 22550521440