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21211212222 = 23217237193571
BaseRepresentation
bin10011110000010010…
…010110100110111110
32000202020122020001200
4103300102112212332
5321420032242342
613424433520330
71350430220604
oct236022264676
960666566050
1021211212222
118aa51a3762
12413b7130a6
1320005c6665
1410530d3874
1584226d94c
hex4f04969be

21211212222 has 144 divisors (see below), whose sum is σ = 50487554832. Its totient is φ = 6429818880.

The previous prime is 21211212173. The next prime is 21211212233. The reversal of 21211212222 is 22221211212.

It is a happy number.

21211212222 is a `hidden beast` number, since 21 + 211 + 212 + 222 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21211212195 and 21211212204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37147197 + ... + 37147767.

Almost surely, 221211212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243777416).

21211212222 is an abundant number, since it is smaller than the sum of its proper divisors (29276342610).

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

21211212222 is a wasteful number, since it uses less digits than its factorization.

21211212222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 21211212222 its reverse (22221211212), we get a palindrome (43432423434).

The spelling of 21211212222 in words is "twenty-one billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 193 222 289 306 333 386 571 578 579 629 666 867 1142 1158 1258 1713 1734 1737 1887 2601 3281 3426 3474 3774 5139 5202 5661 6562 7141 9707 9843 10278 10693 11322 14282 19414 19686 21127 21386 21423 29121 29529 32079 42254 42846 55777 58242 59058 63381 64158 64269 87363 96237 110203 111554 121397 126762 128538 165019 167331 174726 190143 192474 220406 242794 330038 330609 334662 359159 364191 380286 495057 501993 661218 718318 728382 990114 991827 1003986 1077477 1092573 1485171 1873451 1983654 2063749 2154954 2185146 2970342 3232431 3746902 4077511 4127498 5620353 6105703 6191247 6464862 8155022 11240706 12211406 12232533 12382494 16861059 18317109 18573741 24465066 31848667 33722118 36634218 36697599 37147482 54951327 63697334 69317687 73395198 95546001 109902654 138635374 191092002 207953061 286638003 415906122 573276006 623859183 1178400679 1247718366 2356801358 3535202037 7070404074 10605606111 21211212222