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211222022022 = 232118059132371
BaseRepresentation
bin1100010010110111010…
…0000100011110000110
3202012012102111110200200
43010231310010132012
511430040314201042
6241011204551330
721155164364244
oct3045564043606
9665172443620
10211222022022
1181640363470
1234b299b2546
1316bc22416ab
14a31a667794
15576376cc4c
hex312dd04786

211222022022 has 48 divisors (see below), whose sum is σ = 499317773760. Its totient is φ = 63998247600.

The previous prime is 211222021993. The next prime is 211222022041. The reversal of 211222022022 is 220220222112.

It is a super-2 number, since 2×2112220220222 (a number of 23 digits) contains 22 as substring.

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 = 211222021986 and 211222022004.

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 23 ways as a sum of consecutive naturals, for example, 1529497 + ... + 1661867.

It is an arithmetic number, because the mean of its divisors is an integer number (10402453620).

Almost surely, 2211222022022 is an apocalyptic number.

211222022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211222022022 is an abundant number, since it is smaller than the sum of its proper divisors (288095751738).

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

211222022022 is a wasteful number, since it uses less digits than its factorization.

211222022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140449 (or 140446 counting only the distinct ones).

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

Adding to 211222022022 its reverse (220220222112), we get a palindrome (431442244134).

The spelling of 211222022022 in words is "two hundred eleven billion, two hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 8059 16118 24177 48354 72531 88649 132371 145062 177298 264742 265947 397113 531894 794226 797841 1191339 1456081 1595682 2382678 2912162 4368243 8736486 13104729 26209458 1066777889 2133555778 3200333667 6400667334 9601001001 11734556779 19202002002 23469113558 35203670337 70407340674 105611011011 211222022022