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21222022104 = 23321734393881
BaseRepresentation
bin10011110000111011…
…100101101111011000
32000202222222102102200
4103300323211233120
5321430314201404
613425501330200
71350621132363
oct236073455730
960688872380
1021222022104
119000307348
124143266960
13200290ca3a
1410547090da
158431a6839
hex4f0ee5bd8

21222022104 has 96 divisors (see below), whose sum is σ = 57955154400. Its totient is φ = 7015288320.

The previous prime is 21222022093. The next prime is 21222022123. The reversal of 21222022104 is 40122022212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5466244 + ... + 5470124.

It is an arithmetic number, because the mean of its divisors is an integer number (603699525).

Almost surely, 221222022104 is an apocalyptic number.

21222022104 is a gapful number since it is divisible by the number (24) 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 21222022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977577200).

21222022104 is an abundant number, since it is smaller than the sum of its proper divisors (36733132296).

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

21222022104 is a wasteful number, since it uses less digits than its factorization.

21222022104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222022104 its reverse (40122022212), we get a palindrome (61344044316).

The spelling of 21222022104 in words is "twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 439 519 692 878 1038 1317 1384 1557 1756 2076 2634 3114 3512 3881 3951 4152 5268 6228 7762 7902 10536 11643 12456 15524 15804 23286 31048 31608 34929 46572 69858 75947 93144 139716 151894 227841 279432 303788 455682 607576 671413 683523 911364 1342826 1367046 1703759 1822728 2014239 2685652 2734092 3407518 4028478 5111277 5371304 5468184 6042717 6815036 8056956 10222554 12085434 13630072 15333831 16113912 20445108 24170868 30667662 40890216 48341736 61335324 122670648 294750307 589500614 884250921 1179001228 1768501842 2358002456 2652752763 3537003684 5305505526 7074007368 10611011052 21222022104