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211223220032 = 26111726336703
BaseRepresentation
bin1100010010110111100…
…0101000111101000000
3202012012111202100001102
43010231320220331000
511430041121020112
6241011250353532
721155210514056
oct3045570507500
9665174670042
10211223220032
1181641001560
1234b2a28b8a8
1316bc2570a86
14a31a89a1d6
155763907bc2
hex312de28f40

211223220032 has 112 divisors (see below), whose sum is σ = 484403473152. Its totient is φ = 90315079680.

The previous prime is 211223220007. The next prime is 211223220071. The reversal of 211223220032 is 230022322112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211223219986 and 211223220013.

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 15 ways as a sum of consecutive naturals, for example, 31508393 + ... + 31515095.

Almost surely, 2211223220032 is an apocalyptic number.

211223220032 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 211223220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242201736576).

211223220032 is an abundant number, since it is smaller than the sum of its proper divisors (273180253120).

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

211223220032 is a wasteful number, since it uses less digits than its factorization.

211223220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211223220032 its reverse (230022322112), we get a palindrome (441245542144).

The spelling of 211223220032 in words is "two hundred eleven billion, two hundred twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2633 2992 5266 5984 6703 10532 11968 13406 21064 26812 28963 42128 44761 53624 57926 73733 84256 89522 107248 113951 115852 147466 168512 179044 214496 227902 231704 294932 358088 428992 455804 463408 492371 589864 716176 911608 926816 984742 1179728 1253461 1432352 1823216 1853632 1969484 2359456 2506922 2864704 3646432 3938968 4718912 5013844 7292864 7877936 10027688 15755872 17648999 20055376 31511744 35297998 40110752 70595996 80221504 141191992 194138989 282383984 300032983 388277978 564767968 600065966 776555956 1129535936 1200131932 1553111912 2400263864 3106223824 3300362813 4800527728 6212447648 6600725626 9601055456 12424895296 13201451252 19202110912 26402902504 52805805008 105611610016 211223220032