Search a number
-
+
21222022000 = 245361197883
BaseRepresentation
bin10011110000111011…
…100101101101110000
32000202222222102021211
4103300323211231300
5321430314201000
613425501325504
71350621132154
oct236073455560
960688872254
1021222022000
119000307263
124143266894
13200290c98a
141054709064
158431a67ba
hex4f0ee5b70

21222022000 has 160 divisors (see below), whose sum is σ = 52480194624. Its totient is φ = 8297856000.

The previous prime is 21222021979. The next prime is 21222022021. The reversal of 21222022000 is 22022212.

It is an interprime number because it is at equal distance from previous prime (21222021979) and next prime (21222022021).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24033559 + ... + 24034441.

Almost surely, 221222022000 is an apocalyptic number.

21222022000 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 21222022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26240097312).

21222022000 is an abundant number, since it is smaller than the sum of its proper divisors (31258172624).

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

21222022000 is a wasteful number, since it uses less digits than its factorization.

21222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 21222022000 its reverse (22022212), we get a palindrome (21244044212).

The spelling of 21222022000 in words is "twenty-one billion, two hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 197 200 244 250 305 394 400 488 500 610 788 883 976 985 1000 1220 1525 1576 1766 1970 2000 2440 3050 3152 3532 3940 4415 4880 4925 6100 7064 7625 7880 8830 9850 12017 12200 14128 15250 15760 17660 19700 22075 24034 24400 24625 30500 35320 39400 44150 48068 49250 53863 60085 61000 70640 78800 88300 96136 98500 107726 110375 120170 122000 173951 176600 192272 197000 215452 220750 240340 269315 300425 347902 353200 394000 430904 441500 480680 538630 600850 695804 861808 869755 883000 961360 1077260 1201700 1346575 1391608 1502125 1739510 1766000 2154520 2403400 2693150 2783216 3004250 3479020 4309040 4348775 4806800 5386300 6008500 6732875 6958040 8697550 10611011 10772600 12017000 13465750 13916080 17395100 21222022 21545200 21743875 24034000 26931500 34790200 42444044 43487750 53055055 53863000 69580400 84888088 86975500 106110110 107726000 169776176 173951000 212220220 265275275 347902000 424440440 530550550 848880880 1061101100 1326376375 2122202200 2652752750 4244404400 5305505500 10611011000 21222022000