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202011200220 = 223561173331849
BaseRepresentation
bin1011110000100011001…
…1100100101011011100
3201022102111201020112110
42330020303210223130
511302204331401340
6232445213034020
720411011604334
oct2741063445334
9638374636473
10202011200220
1178744068745
1233199185910
1316084bb848b
149ac52540c4
1553c4cea680
hex2f08ce4adc

202011200220 has 96 divisors (see below), whose sum is σ = 575253806400. Its totient is φ = 52954306560.

The previous prime is 202011200219. The next prime is 202011200269. The reversal of 202011200220 is 22002110202.

202011200220 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 202011200196 and 202011200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6326856 + ... + 6358704.

It is an arithmetic number, because the mean of its divisors is an integer number (5992227150).

Almost surely, 2202011200220 is an apocalyptic number.

202011200220 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 202011200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287626903200).

202011200220 is an abundant number, since it is smaller than the sum of its proper divisors (373242606180).

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

202011200220 is a wasteful number, since it uses less digits than its factorization.

202011200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33655 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202011200220 its reverse (22002110202), we get a palindrome (224013310422).

The spelling of 202011200220 in words is "two hundred two billion, eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1733 1830 3466 3660 5199 6932 8665 10398 17330 20796 25995 31849 34660 51990 63698 95547 103980 105713 127396 159245 191094 211426 317139 318490 382188 422852 477735 528565 634278 636980 955470 1057130 1268556 1585695 1910940 1942789 2114260 3171390 3885578 5828367 6342780 7771156 9713945 11656734 19427890 23313468 29141835 38855780 55194317 58283670 110388634 116567340 165582951 220777268 275971585 331165902 551943170 662331804 827914755 1103886340 1655829510 3311659020 3366853337 6733706674 10100560011 13467413348 16834266685 20201120022 33668533370 40402240044 50502800055 67337066740 101005600110 202011200220