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21222223210200 = 23352229154455773
BaseRepresentation
bin1001101001101001011110…
…00100110110011011011000
32210010211021020001122221110
410310310233010312123120
510240201103120211300
6113045204343140320
74320153321630135
oct464645704663330
983124236048843
1021222223210200
116842326815951
1224690137446a0
13bac329a4335c
1453523802b58c
1526c08aa91550
hex134d2f1366d8

21222223210200 has 96 divisors (see below), whose sum is σ = 66076180117200. Its totient is φ = 5634546562560.

The previous prime is 21222223210157. The next prime is 21222223210207. The reversal of 21222223210200 is 201232222212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222223210207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 77090487 + ... + 77365286.

Almost surely, 221222223210200 is an apocalyptic number.

21222223210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222223210200 is an abundant number, since it is smaller than the sum of its proper divisors (44853956907000).

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

21222223210200 is a wasteful number, since it uses less digits than its factorization.

21222223210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154456021 (or 154456012 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21222223210200 its reverse (201232222212), we get a palindrome (21423455432412).

The spelling of 21222223210200 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty-three million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 229 300 458 600 687 916 1145 1374 1832 2290 2748 3435 4580 5496 5725 6870 9160 11450 13740 17175 22900 27480 34350 45800 68700 137400 154455773 308911546 463367319 617823092 772278865 926734638 1235646184 1544557730 1853469276 2316836595 3089115460 3706938552 3861394325 4633673190 6178230920 7722788650 9267346380 11584182975 15445577300 18534692760 23168365950 30891154600 35370372017 46336731900 70740744034 92673463800 106111116051 141481488068 176851860085 212222232102 282962976136 353703720170 424444464204 530555580255 707407440340 848888928408 884259300425 1061111160510 1414814880680 1768518600850 2122222321020 2652777901275 3537037201700 4244444642040 5305555802550 7074074403400 10611111605100 21222223210200