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20020212200 = 2352616132677
BaseRepresentation
bin10010101001010011…
…000011000111101000
31220200020120011011202
4102221103003013220
5312000133242300
613110330343332
71306055665412
oct225123030750
956606504152
1020020212200
11854398481a
123a6888ab48
131b70933811
14d7cc679b2
157c290ead5
hex4a94c31e8

20020212200 has 96 divisors (see below), whose sum is σ = 47404938360. Its totient is φ = 7861017600.

The previous prime is 20020212187. The next prime is 20020212211. The reversal of 20020212200 is 221202002.

It can be written as a sum of positive squares in 12 ways, for example, as 9096199876 + 10924012324 = 95374^2 + 104518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7477262 + ... + 7479938.

Almost surely, 220020212200 is an apocalyptic number.

20020212200 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 20020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23702469180).

20020212200 is an abundant number, since it is smaller than the sum of its proper divisors (27384726160).

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

20020212200 is a wasteful number, since it uses less digits than its factorization.

20020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20020212200 its reverse (221202002), we get a palindrome (20241414202).

The spelling of 20020212200 in words is "twenty billion, twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 613 1220 1226 1525 2440 2452 2677 3050 3065 4904 5354 6100 6130 10708 12200 12260 13385 15325 21416 24520 26770 30650 37393 53540 61300 66925 74786 107080 122600 133850 149572 163297 186965 267700 299144 326594 373930 535400 653188 747860 816485 934825 1306376 1495720 1632970 1641001 1869650 3265940 3282002 3739300 4082425 6531880 6564004 7478600 8164850 8205005 13128008 16329700 16410010 32659400 32820020 41025025 65640040 82050050 100101061 164100100 200202122 328200200 400404244 500505305 800808488 1001010610 2002021220 2502526525 4004042440 5005053050 10010106100 20020212200