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22100221312 = 271317376771
BaseRepresentation
bin10100100101010001…
…101001110110000000
32010001012110120021021
4110211101221312000
5330230124040222
614052552235224
71411443532051
oct244521516600
963035416237
1022100221312
119410aa9414
12434939bb14
132112842440
1410d91cc728
15895328ac7
hex525469d80

22100221312 has 64 divisors (see below), whose sum is σ = 47689230960. Its totient is φ = 10141009920.

The previous prime is 22100221309. The next prime is 22100221321. The reversal of 22100221312 is 21312200122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249487 + ... + 326257.

Almost surely, 222100221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23844615480).

22100221312 is an abundant number, since it is smaller than the sum of its proper divisors (25589009648).

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

22100221312 is a wasteful number, since it uses less digits than its factorization.

22100221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76971 (or 76959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22100221312 its reverse (21312200122), we get a palindrome (43412421434).

The spelling of 22100221312 in words is "twenty-two billion, one hundred million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 173 208 346 416 692 832 1384 1664 2249 2768 4498 5536 8996 11072 17992 22144 35984 71968 76771 143936 153542 287872 307084 614168 998023 1228336 1996046 2456672 3992092 4913344 7984184 9826688 13281383 15968368 26562766 31936736 53125532 63873472 106251064 127746944 172657979 212502128 345315958 425004256 690631916 850008512 1381263832 1700017024 2762527664 5525055328 11050110656 22100221312