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211006620 = 22355113947
BaseRepresentation
bin11001001001110…
…11010010011100
3112201001020200000
430210323102130
5413004202440
632534334300
75141345436
oct1444732234
9481036600
10211006620
11a9120440
125a7ba390
133493c0b6
1420049656
15137d0730
hexc93b49c

211006620 has 144 divisors (see below), whose sum is σ = 724284288. Its totient is φ = 51140160.

The previous prime is 211006619. The next prime is 211006637. The reversal of 211006620 is 26600112.

It is a happy number.

211006620 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 662 + 0 = 666.

211006620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 211006593 and 211006602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51487 + ... + 55433.

It is an arithmetic number, because the mean of its divisors is an integer number (5029752).

Almost surely, 2211006620 is an apocalyptic number.

211006620 is a gapful number since it is divisible by the number (20) 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 211006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362142144).

211006620 is an abundant number, since it is smaller than the sum of its proper divisors (513277668).

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

211006620 is a wasteful number, since it uses less digits than its factorization.

211006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3982 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 211006620 is about 14526.0669143440. The cubic root of 211006620 is about 595.3404073345.

Adding to 211006620 its reverse (26600112), we get a palindrome (237606732).

The spelling of 211006620 in words is "two hundred eleven million, six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 3947 4455 4860 5346 5940 7894 8910 10692 11841 13365 15788 17820 19735 23682 26730 35523 39470 43417 47364 53460 59205 71046 78940 86834 106569 118410 130251 142092 173668 177615 213138 217085 236820 260502 319707 355230 390753 426276 434170 521004 532845 639414 651255 710460 781506 868340 959121 1065690 1172259 1278828 1302510 1563012 1598535 1918242 1953765 2131380 2344518 2605020 3197070 3516777 3836484 3907530 4689036 4795605 5861295 6394140 7033554 7815060 9591210 10550331 11722590 14067108 17583885 19182420 21100662 23445180 35167770 42201324 52751655 70335540 105503310 211006620