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212521420 = 22517625063
BaseRepresentation
bin11001010101011…
…01000111001100
3112210220012120201
430222231013030
5413401141140
633031023244
75160254656
oct1452550714
9483805521
10212521420
11a9a65541
125b20ab24
133504c727
14203216d6
15139ce49a
hexcaad1cc

212521420 has 24 divisors (see below), whose sum is σ = 472548384. Its totient is φ = 80007936.

The previous prime is 212521411. The next prime is 212521423. The reversal of 212521420 is 24125212.

212521420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212521423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312192 + ... + 312871.

It is an arithmetic number, because the mean of its divisors is an integer number (19689516).

Almost surely, 2212521420 is an apocalyptic number.

212521420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212521420 is an abundant number, since it is smaller than the sum of its proper divisors (260026964).

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

212521420 is a wasteful number, since it uses less digits than its factorization.

212521420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625089 (or 625087 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212521420 is about 14578.1144185385. The cubic root of 212521420 is about 596.7616458076.

Adding to 212521420 its reverse (24125212), we get a palindrome (236646632).

The spelling of 212521420 in words is "two hundred twelve million, five hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 625063 1250126 2500252 3125315 6250630 10626071 12501260 21252142 42504284 53130355 106260710 212521420