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211222020200220 = 223251769026803987
BaseRepresentation
bin110000000001101011110101…
…011110111001011100011100
31000200212121221202110111100100
4300001223311132321130130
5210141130144132401340
62025122020112301100
762330200365205461
oct6001536536713434
91020777852414310
10211222020200220
1161335834946837
121b8342ab241790
1390b21c6aa7673
143a232b3999668
151964581e8b830
hexc01af57b971c

211222020200220 has 72 divisors (see below), whose sum is σ = 678395429594064. Its totient is φ = 53012585461248.

The previous prime is 211222020200201. The next prime is 211222020200221. The reversal of 211222020200220 is 22002020222112.

211222020200220 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 220 + 20 + 200 + 220 = 666.

It is a super-2 number, since 2×2112220202002202 (a number of 29 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 = 211222020200193 and 211222020200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222020200221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34513398934 + ... + 34513405053.

It is an arithmetic number, because the mean of its divisors is an integer number (9422158744362).

Almost surely, 2211222020200220 is an apocalyptic number.

211222020200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222020200220 is an abundant number, since it is smaller than the sum of its proper divisors (467173409393844).

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

211222020200220 is a wasteful number, since it uses less digits than its factorization.

211222020200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69026804019 (or 69026804014 counting only the distinct ones).

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

Adding to 211222020200220 its reverse (22002020222112), we get a palindrome (233224040422332).

The spelling of 211222020200220 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 69026803987 138053607974 207080411961 276107215948 345134019935 414160823922 621241235883 690268039870 828321647844 1035402059805 1173455667779 1242482471766 1380536079740 2070804119610 2346911335558 2484964943532 3106206179415 3520367003337 4141608239220 4693822671116 5867278338895 6212412358830 7040734006674 10561101010011 11734556677790 12424824717660 14081468013348 17601835016685 21122202020022 23469113355580 35203670033370 42244404040044 52805505050055 70407340066740 105611010100110 211222020200220