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211222022040 = 23325593989423
BaseRepresentation
bin1100010010110111010…
…0000100011110011000
3202012012102111110201100
43010231310010132120
511430040314201130
6241011204551400
721155164364301
oct3045564043630
9665172443640
10211222022040
1181640363487
1234b299b2560
1316bc22416c3
14a31a6677a8
15576376cc60
hex312dd04798

211222022040 has 96 divisors (see below), whose sum is σ = 687629891520. Its totient is φ = 56230831104.

The previous prime is 211222021993. The next prime is 211222022041. The reversal of 211222022040 is 40220222112.

It is a super-2 number, since 2×2112220220402 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222022041) 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 23 ways as a sum of consecutive naturals, for example, 281232 + ... + 708191.

It is an arithmetic number, because the mean of its divisors is an integer number (7162811370).

Almost surely, 2211222022040 is an apocalyptic number.

211222022040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222022040 is an abundant number, since it is smaller than the sum of its proper divisors (476407869480).

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

211222022040 is a wasteful number, since it uses less digits than its factorization.

211222022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990033 (or 990026 counting only the distinct ones).

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

Adding to 211222022040 its reverse (40220222112), we get a palindrome (251442244152).

The spelling of 211222022040 in words is "two hundred eleven billion, two hundred twenty-two million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 593 1186 1779 2372 2965 3558 4744 5337 5930 7116 8895 10674 11860 14232 17790 21348 23720 26685 35580 42696 53370 71160 106740 213480 989423 1978846 2968269 3957692 4947115 5936538 7915384 8904807 9894230 11873076 14841345 17809614 19788460 23746152 29682690 35619228 39576920 44524035 59365380 71238456 89048070 118730760 178096140 356192280 586727839 1173455678 1760183517 2346911356 2933639195 3520367034 4693822712 5280550551 5867278390 7040734068 8800917585 10561101102 11734556780 14081468136 17601835170 21122202204 23469113560 26402752755 35203670340 42244404408 52805505510 70407340680 105611011020 211222022040