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22109145840 = 2432585335999
BaseRepresentation
bin10100100101110011…
…101100101011110000
32010001211020222102100
4110211303230223300
5330234420131330
614053511420400
71411612432065
oct244563545360
963054228370
1022109145840
119416044561
124350384700
132114648622
1410da472c6c
15895edd060
hex525cecaf0

22109145840 has 120 divisors (see below), whose sum is σ = 74338992000. Its totient is φ = 5888696832.

The previous prime is 22109145829. The next prime is 22109145857. The reversal of 22109145840 is 4854190122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22109145795 and 22109145804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596161 + ... + 632159.

It is an arithmetic number, because the mean of its divisors is an integer number (619491600).

Almost surely, 222109145840 is an apocalyptic number.

22109145840 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 22109145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37169496000).

22109145840 is an abundant number, since it is smaller than the sum of its proper divisors (52229846160).

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

22109145840 is a wasteful number, since it uses less digits than its factorization.

22109145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36871 (or 36862 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22109145840 in words is "twenty-two billion, one hundred nine million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 853 1706 2559 3412 4265 5118 6824 7677 8530 10236 12795 13648 15354 17060 20472 25590 30708 34120 35999 38385 40944 51180 61416 68240 71998 76770 102360 107997 122832 143996 153540 179995 204720 215994 287992 307080 323991 359990 431988 539985 575984 614160 647982 719980 863976 1079970 1295964 1439960 1619955 1727952 2159940 2591928 2879920 3239910 4319880 5183856 6479820 8639760 12959640 25919280 30707147 61414294 92121441 122828588 153535735 184242882 245657176 276364323 307071470 368485764 460607205 491314352 552728646 614142940 736971528 921214410 1105457292 1228285880 1381821615 1473943056 1842428820 2210914584 2456571760 2763643230 3684857640 4421829168 5527286460 7369715280 11054572920 22109145840