Search a number
-
+
21223023222000 = 243535959952043
BaseRepresentation
bin1001101001101010111101…
…10000101001110011110000
32210010220022222102110211010
410310311132300221303300
510240204222421101000
6113045420002150520
74320212204623065
oct464653660516360
983126288373733
1021223023222000
1168426a7364626
1224691b7652440
13bac4266cb712
145352b239ac6c
1526c0d5e1bd50
hex134d5ec29cf0

21223023222000 has 160 divisors (see below), whose sum is σ = 69582740348160. Its totient is φ = 5563549497600.

The previous prime is 21223023221999. The next prime is 21223023222041. The reversal of 21223023222000 is 22232032212.

It is a super-2 number, since 2×212230232220002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29622022 + ... + 30330021.

It is an arithmetic number, because the mean of its divisors is an integer number (434892127176).

Almost surely, 221223023222000 is an apocalyptic number.

21223023222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21223023222000 is an abundant number, since it is smaller than the sum of its proper divisors (48359717126160).

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

21223023222000 is a wasteful number, since it uses less digits than its factorization.

21223023222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59952128 (or 59952112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 21223023222000 its reverse (22232032212), we get a palindrome (21245255254212).

The spelling of 21223023222000 in words is "twenty-one trillion, two hundred twenty-three billion, twenty-three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 150 177 200 236 240 250 295 300 354 375 400 472 500 590 600 708 750 885 944 1000 1180 1200 1416 1475 1500 1770 2000 2360 2832 2950 3000 3540 4425 4720 5900 6000 7080 7375 8850 11800 14160 14750 17700 22125 23600 29500 35400 44250 59000 70800 88500 118000 177000 354000 59952043 119904086 179856129 239808172 299760215 359712258 479616344 599520430 719424516 899280645 959232688 1199040860 1438849032 1498801075 1798561290 2398081720 2877698064 2997602150 3537170537 3597122580 4496403225 4796163440 5995204300 7074341074 7194245160 7494005375 8992806450 10611511611 11990408600 14148682148 14388490320 14988010750 17685852685 17985612900 21223023222 22482016125 23980817200 28297364296 29976021500 35371705370 35971225800 42446046444 44964032250 53057558055 56594728592 59952043000 70743410740 71942451600 84892092888 88429263425 89928064500 106115116110 119904086000 141486821480 169784185776 176858526850 179856129000 212230232220 265287790275 282973642960 353717053700 359712258000 424460464440 442146317125 530575580550 707434107400 848920928880 884292634250 1061151161100 1326438951375 1414868214800 1768585268500 2122302322200 2652877902750 3537170537000 4244604644400 5305755805500 7074341074000 10611511611000 21223023222000