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212531420 = 22510626571
BaseRepresentation
bin11001010101011…
…11100011011100
3112210220201022002
430222233203130
5413402001140
633031141432
75160326063
oct1452574334
9483821262
10212531420
11a9a72002
125b214878
133505414a
14203251da
15139d2415
hexcaaf8dc

212531420 has 12 divisors (see below), whose sum is σ = 446316024. Its totient is φ = 85012560.

The previous prime is 212531383. The next prime is 212531447. The reversal of 212531420 is 24135212.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10626571 = 212531420 / (2 + 1 + 2 + 5 + 3 + 1 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 212531392 and 212531401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5313266 + ... + 5313305.

It is an arithmetic number, because the mean of its divisors is an integer number (37193002).

Almost surely, 2212531420 is an apocalyptic number.

212531420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212531420 is an abundant number, since it is smaller than the sum of its proper divisors (233784604).

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

212531420 is a wasteful number, since it uses less digits than its factorization.

212531420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626580 (or 10626578 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212531420 is about 14578.4573943885. The cubic root of 212531420 is about 596.7710056843.

Adding to 212531420 its reverse (24135212), we get a palindrome (236666632).

The spelling of 212531420 in words is "two hundred twelve million, five hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10626571 21253142 42506284 53132855 106265710 212531420