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22120222212 = 2232111372811451
BaseRepresentation
bin10100100110011101…
…111100111000000100
32010002121002201100100
4110212131330320010
5330300234102322
614054545044100
71412105533524
oct244635747004
963077081310
1022120222212
11942131a390
124354026630
132116a260aa
1410dbb17684
15896e79dac
hex52677ce04

22120222212 has 144 divisors (see below), whose sum is σ = 61704586944. Its totient is φ = 6625920000.

The previous prime is 22120222211. The next prime is 22120222321. The reversal of 22120222212 is 21222202122.

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

It is not an unprimeable number, because it can be changed into a prime (22120222211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15244087 + ... + 15245537.

It is an arithmetic number, because the mean of its divisors is an integer number (428504076).

Almost surely, 222120222212 is an apocalyptic number.

22120222212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852293472).

22120222212 is an abundant number, since it is smaller than the sum of its proper divisors (39584364732).

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

22120222212 is a wasteful number, since it uses less digits than its factorization.

22120222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22120222212 its reverse (21222202122), we get a palindrome (43342424334).

The spelling of 22120222212 in words is "twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 281 396 411 548 562 822 843 1124 1233 1451 1507 1644 1686 2466 2529 2902 3014 3091 3372 4353 4521 4932 5058 5804 6028 6182 8706 9042 9273 10116 12364 13059 13563 15961 17412 18084 18546 26118 27126 27819 31922 37092 38497 47883 52236 54252 55638 63844 76994 95766 111276 115491 143649 153988 191532 198787 230982 287298 346473 397574 407731 423467 461964 574596 596361 692946 795148 815462 846934 1192722 1223193 1270401 1385892 1630924 1693868 1789083 2186657 2385444 2446386 2540802 3578166 3669579 3811203 4373314 4485041 4892772 5081604 6559971 7156332 7339158 7622406 8746628 8970082 13119942 13455123 14678316 15244812 17940164 19679913 26239884 26910246 39359826 40365369 53820492 55859147 78719652 80730738 111718294 161461476 167577441 223436588 335154882 502732323 614450617 670309764 1005464646 1228901234 1843351851 2010929292 2457802468 3686703702 5530055553 7373407404 11060111106 22120222212