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21220320222 = 2346115114221
BaseRepresentation
bin10011110000110101…
…000110001111011110
32000202212202221220000
4103300311012033132
5321424400221342
613425401035130
71350600513543
oct236065061736
960685687800
1021220320222
118aaa354732
124142785aa6
1320024651ca
1410543c4bca
15842e6c44c
hex4f0d463de

21220320222 has 80 divisors (see below), whose sum is σ = 48652210464. Its totient is φ = 6910920000.

The previous prime is 21220320211. The next prime is 21220320241. The reversal of 21220320222 is 22202302212.

21220320222 is a `hidden beast` number, since 2 + 122 + 0 + 320 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21220320195 and 21220320204.

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 39 ways as a sum of consecutive naturals, for example, 1485072 + ... + 1499292.

Almost surely, 221220320222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220320222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326105232).

21220320222 is an abundant number, since it is smaller than the sum of its proper divisors (27431890242).

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

21220320222 is a wasteful number, since it uses less digits than its factorization.

21220320222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21220320222 its reverse (22202302212), we get a palindrome (43422622434).

The spelling of 21220320222 in words is "twenty-one billion, two hundred twenty million, three hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 151 162 183 302 366 453 549 906 1098 1359 1647 2718 3294 4077 4941 8154 9211 9882 12231 14221 18422 24462 27633 28442 42663 55266 82899 85326 127989 165798 248697 255978 383967 497394 746091 767934 867481 1151901 1492182 1734962 2147371 2303802 2602443 4294742 5204886 6442113 7807329 12884226 15614658 19326339 23421987 38652678 46843974 57979017 70265961 115958034 130989631 140531922 173937051 261979262 347874102 392968893 785937786 1178906679 2357813358 3536720037 7073440074 10610160111 21220320222