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2122212020 = 225103012
BaseRepresentation
bin111111001111110…
…0110001010110100
312110220022112121012
41332133212022310
513321241241040
6550330211352
7103406335025
oct17637461264
95426275535
102122212020
11999a2a335
124b2883b58
1327a897076
14161bccc4c
15c64a3865
hex7e7e62b4

2122212020 has 18 divisors (see below), whose sum is σ = 4457077926. Its totient is φ = 848802400.

The previous prime is 2122212013. The next prime is 2122212041. The reversal of 2122212020 is 202122212.

It can be written as a sum of positive squares in 3 ways, for example, as 1322340496 + 799871524 = 36364^2 + 28282^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2122211986 and 2122212004.

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 5 ways as a sum of consecutive naturals, for example, 200870 + ... + 211170.

Almost surely, 22122212020 is an apocalyptic number.

2122212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122212020 is an abundant number, since it is smaller than the sum of its proper divisors (2334865906).

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

2122212020 is an frugal number, since it uses more digits than its factorization.

2122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20611 (or 10308 counting only the distinct ones).

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

The square root of 2122212020 is about 46067.4724724507. The cubic root of 2122212020 is about 1285.0782997199.

Adding to 2122212020 its reverse (202122212), we get a palindrome (2324334232).

The spelling of 2122212020 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 10301 20602 41204 51505 103010 206020 106110601 212221202 424442404 530553005 1061106010 2122212020