Search a number
-
+
2020010202 = 232726734183
BaseRepresentation
bin111100001100110…
…1110100011011010
312012210000011001200
41320121232203122
513114110311302
6532235455030
7101025542400
oct17031564332
95183004050
102020010202
11947274621
124845b7476
13262662312
141523c7470
15bc51681c
hex7866e8da

2020010202 has 72 divisors (see below), whose sum is σ = 5167390176. Its totient is φ = 568515024.

The previous prime is 2020010149. The next prime is 2020010203. The reversal of 2020010202 is 2020100202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2020010203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 42003 + ... + 76185.

It is an arithmetic number, because the mean of its divisors is an integer number (71769308).

Almost surely, 22020010202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020010202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583695088).

2020010202 is an abundant number, since it is smaller than the sum of its proper divisors (3147379974).

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

2020010202 is a wasteful number, since it uses less digits than its factorization.

2020010202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34272 (or 34262 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2020010202 is about 44944.5236041055. The cubic root of 2020010202 is about 1264.1089929815.

Adding to 2020010202 its reverse (2020100202), we get a palindrome (4040110404).

Subtracting 2020010202 from its reverse (2020100202), we obtain a square (90000 = 3002).

The spelling of 2020010202 in words is "two billion, twenty million, ten thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 603 882 938 1206 1407 2814 3283 4221 6566 8442 9849 19698 29547 34183 59094 68366 102549 205098 239281 307647 478562 615294 717843 1435686 1674967 2153529 2290261 3349934 4307058 4580522 5024901 6870783 10049802 13741566 15074703 16031827 20612349 30149406 32063654 41224698 48095481 96190962 112222789 144286443 224445578 288572886 336668367 673336734 1010005101 2020010202