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222031221012 = 223331521127289
BaseRepresentation
bin1100111011001000010…
…1111001000100010100
3210020002201220200011000
43032302011321010110
512114204443033022
6245555535343300
722020066145026
oct3166205710424
9706081820130
10222031221012
1186187921677
1237045981b30
1317c25782b23
14aa6406c016
155b976bd6ac
hex33b2179114

222031221012 has 96 divisors (see below), whose sum is σ = 595350604800. Its totient is φ = 71484940800.

The previous prime is 222031220993. The next prime is 222031221023. The reversal of 222031221012 is 210122130222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1680664 + ... + 1807952.

It is an arithmetic number, because the mean of its divisors is an integer number (6201568800).

Almost surely, 2222031221012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222031221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297675302400).

222031221012 is an abundant number, since it is smaller than the sum of its proper divisors (373319383788).

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

222031221012 is a wasteful number, since it uses less digits than its factorization.

222031221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127854 (or 127846 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222031221012 its reverse (210122130222), we get a palindrome (432153351234).

The spelling of 222031221012 in words is "two hundred twenty-two billion, thirty-one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 521 558 837 1042 1116 1563 1674 2084 3126 3348 4689 6252 9378 14067 16151 18756 28134 32302 48453 56268 64604 96906 127289 145359 193812 254578 290718 381867 436077 509156 581436 763734 872154 1145601 1527468 1744308 2291202 3436803 3945959 4582404 6873606 7891918 11837877 13747212 15783836 23675754 35513631 47351508 66317569 71027262 106540893 132635138 142054524 198952707 213081786 265270276 397905414 426163572 596858121 795810828 1193716242 1790574363 2055844639 2387432484 3581148726 4111689278 6167533917 7162297452 8223378556 12335067834 18502601751 24670135668 37005203502 55507805253 74010407004 111015610506 222031221012