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212421680 = 2455235077
BaseRepresentation
bin11001010100101…
…00110000110000
3112210201010202122
430222110300300
5413334443210
633024533412
75156361122
oct1452246060
9483633678
10212421680
11a99a7609
125b181268
1335016203
14202d7212
15139aeb55
hexca94c30

212421680 has 40 divisors (see below), whose sum is σ = 494922192. Its totient is φ = 84789504.

The previous prime is 212421667. The next prime is 212421689. The reversal of 212421680 is 86124212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (212421689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39302 + ... + 44378.

Almost surely, 2212421680 is an apocalyptic number.

212421680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212421680 is an abundant number, since it is smaller than the sum of its proper divisors (282500512).

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

212421680 is a wasteful number, since it uses less digits than its factorization.

212421680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5607 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 212421680 is about 14574.6931357062. The cubic root of 212421680 is about 596.6682743247.

Adding to 212421680 its reverse (86124212), we get a palindrome (298545892).

It can be divided in two parts, 21242 and 1680, that added together give a palindrome (22922).

The spelling of 212421680 in words is "two hundred twelve million, four hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 523 1046 2092 2615 4184 5077 5230 8368 10154 10460 20308 20920 25385 40616 41840 50770 81232 101540 203080 406160 2655271 5310542 10621084 13276355 21242168 26552710 42484336 53105420 106210840 212421680