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2142210220 = 225604717713
BaseRepresentation
bin111111110101111…
…1000100010101100
312112021221112222021
41333223320202230
513341401211340
6552322555524
7104041325563
oct17753704254
95467845867
102142210220
119aa249277
124b9508ba4
13281a79717
14164716bda
15c8103e4a
hex7faf88ac

2142210220 has 24 divisors (see below), whose sum is σ = 4499639424. Its totient is φ = 856694016.

The previous prime is 2142210167. The next prime is 2142210223. The reversal of 2142210220 is 220122412.

It is a junction number, because it is equal to n+sod(n) for n = 2142210194 and 2142210203.

It is not an unprimeable number, because it can be changed into a prime (2142210223) by changing a digit.

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, 112084 + ... + 129796.

It is an arithmetic number, because the mean of its divisors is an integer number (187484976).

Almost surely, 22142210220 is an apocalyptic number.

2142210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142210220 is an abundant number, since it is smaller than the sum of its proper divisors (2357429204).

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

2142210220 is a wasteful number, since it uses less digits than its factorization.

2142210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23769 (or 23767 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2142210220 is about 46284.0168956844. The cubic root of 2142210220 is about 1289.1022377647.

Adding to 2142210220 its reverse (220122412), we get a palindrome (2362332632).

The spelling of 2142210220 in words is "two billion, one hundred forty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6047 12094 17713 24188 30235 35426 60470 70852 88565 120940 177130 354260 107110511 214221022 428442044 535552555 1071105110 2142210220