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213420889 = 1122960821
BaseRepresentation
bin11001011100010…
…00101101011001
3112212120220102101
430232020231121
5414113432024
633102203401
75201022223
oct1456105531
9485526371
10213420889
11aa51a300
125b583561
13352a5c66
14204b7413
1513b0ac44
hexcb88b59

213420889 has 12 divisors (see below), whose sum is σ = 242679780. Its totient is φ = 187325600.

The previous prime is 213420871. The next prime is 213420919. The reversal of 213420889 is 988024312.

213420889 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 2 ways, for example, as 114318864 + 99102025 = 10692^2 + 9955^2 .

It is not a de Polignac number, because 213420889 - 211 = 213418841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213420859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26902 + ... + 33919.

It is an arithmetic number, because the mean of its divisors is an integer number (20223315).

Almost surely, 2213420889 is an apocalyptic number.

213420889 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

213420889 is a deficient number, since it is larger than the sum of its proper divisors (29258891).

213420889 is a wasteful number, since it uses less digits than its factorization.

213420889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60872 (or 60861 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 213420889 is about 14608.9318226898. The cubic root of 213420889 is about 597.6023659396.

The spelling of 213420889 in words is "two hundred thirteen million, four hundred twenty thousand, eight hundred eighty-nine".

Divisors: 1 11 29 121 319 3509 60821 669031 1763809 7359341 19401899 213420889