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220002020212 = 221341603717093
BaseRepresentation
bin1100110011100100100…
…1000110101101110100
3210000212022121120221211
43030321021012231310
512101031004121322
6245022330451204
721615566213512
oct3147111065564
9700768546854
10220002020212
1185336450017
123677a293b04
13179912534b0
14a9107714b2
155ac948db77
hex3339246b74

220002020212 has 48 divisors (see below), whose sum is σ = 424827062352. Its totient is φ = 99040619520.

The previous prime is 220002020197. The next prime is 220002020237. The reversal of 220002020212 is 212020200022.

220002020212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 73346722276 + 146655297936 = 270826^2 + 382956^2 .

It is a super-2 number, since 2×2200020202122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 220002020192 and 220002020201.

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 15 ways as a sum of consecutive naturals, for example, 12862338 + ... + 12879430.

It is an arithmetic number, because the mean of its divisors is an integer number (8850563799).

Almost surely, 2220002020212 is an apocalyptic number.

It is an amenable number.

220002020212 is a deficient number, since it is larger than the sum of its proper divisors (204825042140).

220002020212 is a wasteful number, since it uses less digits than its factorization.

220002020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23188 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220002020212 its reverse (212020200022), we get a palindrome (432022220234).

The spelling of 220002020212 in words is "two hundred twenty billion, two million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 13 26 41 52 82 164 533 1066 2132 6037 12074 17093 24148 34186 68372 78481 156962 222209 247517 313924 444418 495034 700813 888836 990068 1401626 2803252 3217721 6435442 9110569 12870884 18221138 36442276 103190441 206380882 412761764 1341475733 2682951466 4230808081 5365902932 8461616162 16923232324 55000505053 110001010106 220002020212