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213442420 = 22510672121
BaseRepresentation
bin11001011100011…
…01111101110100
3112212121222221211
430232031331310
5414120124140
633102451204
75201142052
oct1456157564
9485558854
10213442420
11aa5344a4
125b593b04
13352b29b9
14204c11d2
1513b122ea
hexcb8df74

213442420 has 12 divisors (see below), whose sum is σ = 448229124. Its totient is φ = 85376960.

The previous prime is 213442417. The next prime is 213442441. The reversal of 213442420 is 24244312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 159213924 + 54228496 = 12618^2 + 7364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213442391 and 213442400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5336041 + ... + 5336080.

It is an arithmetic number, because the mean of its divisors is an integer number (37352427).

Almost surely, 2213442420 is an apocalyptic number.

213442420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213442420 is an abundant number, since it is smaller than the sum of its proper divisors (234786704).

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

213442420 is a wasteful number, since it uses less digits than its factorization.

213442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672130 (or 10672128 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 213442420 is about 14609.6687162988. The cubic root of 213442420 is about 597.6224616668.

Adding to 213442420 its reverse (24244312), we get a palindrome (237686732).

The spelling of 213442420 in words is "two hundred thirteen million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10672121 21344242 42688484 53360605 106721210 213442420