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221102300540 = 2251122917318211
BaseRepresentation
bin1100110111101010111…
…0010101110101111100
3210010200222222121211002
43031322232111311330
512110304142104130
6245323433345432
721655056355052
oct3157256256574
9703628877732
10221102300540
1185850536a00
1236a26868278
1317b081a1944
14a9b69441d2
155b40d7cb45
hex337ab95d7c

221102300540 has 144 divisors (see below), whose sum is σ = 531042251040. Its totient is φ = 77175436800.

The previous prime is 221102300467. The next prime is 221102300593. The reversal of 221102300540 is 45003201122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12132035 + ... + 12150245.

It is an arithmetic number, because the mean of its divisors is an integer number (3687793410).

Almost surely, 2221102300540 is an apocalyptic number.

221102300540 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 221102300540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265521125520).

221102300540 is an abundant number, since it is smaller than the sum of its proper divisors (309939950500).

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

221102300540 is a wasteful number, since it uses less digits than its factorization.

221102300540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18444 (or 18431 counting only the distinct ones).

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

Adding to 221102300540 its reverse (45003201122), we get a palindrome (266105501662).

The spelling of 221102300540 in words is "two hundred twenty-one billion, one hundred two million, three hundred thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 173 220 242 290 319 346 484 580 605 638 692 865 1210 1276 1595 1730 1903 2420 3190 3460 3509 3806 5017 6380 7018 7612 9515 10034 14036 17545 18211 19030 20068 20933 25085 35090 36422 38060 41866 50170 55187 70180 72844 83732 91055 100340 104665 110374 182110 200321 209330 220748 275935 364220 400642 418660 528119 551870 607057 801284 1001605 1056238 1103740 1214114 2003210 2112476 2203531 2428228 2640595 3035285 3150503 4006420 4407062 5281190 5809309 6070570 6301006 8814124 10562380 11017655 11618618 12141140 12602012 15752515 22035310 23237236 29046545 31505030 34655533 44070620 58093090 63010060 63902399 69311066 91364587 116186180 127804798 138622132 173277665 182729174 255609596 319511995 346555330 365458348 381210863 456822935 639023990 693110660 762421726 913645870 1005010457 1278047980 1524843452 1827291740 1906054315 2010020914 3812108630 4020041828 5025052285 7624217260 10050104570 11055115027 20100209140 22110230054 44220460108 55275575135 110551150270 221102300540