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22001541320 = 2351125977047
BaseRepresentation
bin10100011111011001…
…001110000011001000
32002210022210002202202
4110133121032003020
5330024343310240
614035105215332
71406135005223
oct243731160310
962708702682
1022001541320
119370329700
124320331548
1320c8271705
1410ca0625ba
1588b835315
hex51f64e0c8

22001541320 has 96 divisors (see below), whose sum is σ = 55335873600. Its totient is φ = 7864855680.

The previous prime is 22001541301. The next prime is 22001541377. The reversal of 22001541320 is 2314510022.

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 = 22001541292 and 22001541301.

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, 247037 + ... + 324083.

It is an arithmetic number, because the mean of its divisors is an integer number (576415350).

Almost surely, 222001541320 is an apocalyptic number.

22001541320 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 22001541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667936800).

22001541320 is an abundant number, since it is smaller than the sum of its proper divisors (33334332280).

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

22001541320 is a wasteful number, since it uses less digits than its factorization.

22001541320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77139 (or 77124 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 22001541320 in words is "twenty-two billion, one million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 220 236 242 295 440 472 484 590 605 649 968 1180 1210 1298 2360 2420 2596 3245 4840 5192 6490 7139 12980 14278 25960 28556 35695 57112 71390 77047 142780 154094 285560 308188 385235 616376 770470 847517 1540940 1695034 3081880 3390068 4237585 4545773 6780136 8475170 9091546 9322687 16950340 18183092 18645374 22728865 33900680 36366184 37290748 45457730 46613435 50003503 74581496 90915460 93226870 100007006 181830920 186453740 200014012 250017515 372907480 400028024 500035030 550038533 1000070060 1100077066 2000140120 2200154132 2750192665 4400308264 5500385330 11000770660 22001541320