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212210022020 = 22561173942641
BaseRepresentation
bin1100010110100010110…
…0111111011010000100
3202021202021121001220012
43011220230333122010
511434101231201040
6241253221125352
721221522265563
oct3055054773204
9667667531805
10212210022020
1181aa8030497
1235164859858
131701bb39889
14a3b196dbda
1557c037d865
hex3168b3f684

212210022020 has 24 divisors (see below), whose sum is σ = 452946639768. Its totient is φ = 83492467200.

The previous prime is 212210021977. The next prime is 212210022097. The reversal of 212210022020 is 20220012212.

212210022020 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 4 ways, for example, as 9351663616 + 202858358404 = 96704^2 + 450398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212210021986 and 212210022004.

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 7 ways as a sum of consecutive naturals, for example, 86970101 + ... + 86972540.

It is an arithmetic number, because the mean of its divisors is an integer number (18872776657).

Almost surely, 2212210022020 is an apocalyptic number.

212210022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210022020 is an abundant number, since it is smaller than the sum of its proper divisors (240736617748).

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

212210022020 is a wasteful number, since it uses less digits than its factorization.

212210022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173942711 (or 173942709 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212210022020 its reverse (20220012212), we get a palindrome (232430034232).

The spelling of 212210022020 in words is "two hundred twelve billion, two hundred ten million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 173942641 347885282 695770564 869713205 1739426410 3478852820 10610501101 21221002202 42442004404 53052505505 106105011010 212210022020