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212421024 = 2532737573
BaseRepresentation
bin11001010100101…
…00100110100000
3112210201002212100
430222110212200
5413334433044
633024530400
75156356164
oct1452244640
9483632770
10212421024
11a99a7072
125b180a00
1335015b1a
14202d6ca4
15139ae869
hexca949a0

212421024 has 36 divisors (see below), whose sum is σ = 604073106. Its totient is φ = 70806912.

The previous prime is 212421019. The next prime is 212421029. The reversal of 212421024 is 420124212.

212421024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212421019) and next prime (212421029).

It can be written as a sum of positive squares in only one way, i.e., 140849424 + 71571600 = 11868^2 + 8460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212420988 and 212421006.

It is not an unprimeable number, because it can be changed into a prime (212421029) 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 5 ways as a sum of consecutive naturals, for example, 368499 + ... + 369074.

Almost surely, 2212421024 is an apocalyptic number.

212421024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212421024 is an abundant number, since it is smaller than the sum of its proper divisors (391652082).

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

212421024 is a wasteful number, since it uses less digits than its factorization.

212421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737589 (or 737578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212421024 is about 14574.6706309268. The cubic root of 212421024 is about 596.6676601144.

Adding to 212421024 its reverse (420124212), we get a palindrome (632545236).

The spelling of 212421024 in words is "two hundred twelve million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 737573 1475146 2212719 2950292 4425438 5900584 6638157 8850876 11801168 13276314 17701752 23602336 26552628 35403504 53105256 70807008 106210512 212421024