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212013235224 = 233278310095023
BaseRepresentation
bin1100010101110011111…
…0010011110000011000
3202021020120022021011100
43011130332103300120
511433200342011344
6241221511231400
721213612523260
oct3053476236030
9667216267140
10212013235224
1181a06a4267a
123510a978560
1316cba138c9b
14a3937867a0
1557ace5b569
hex315cf93c18

212013235224 has 192 divisors, whose sum is σ = 664928409600. Its totient is φ = 59774174208.

The previous prime is 212013235207. The next prime is 212013235229. The reversal of 212013235224 is 422532310212.

212013235224 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 132 + 3 + 522 + 4 = 666.

212013235224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120132352242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013235229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42205977 + ... + 42210999.

It is an arithmetic number, because the mean of its divisors is an integer number (3463168800).

Almost surely, 2212013235224 is an apocalyptic number.

212013235224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013235224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332464204800).

212013235224 is an abundant number, since it is smaller than the sum of its proper divisors (452915174376).

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

212013235224 is a wasteful number, since it uses less digits than its factorization.

212013235224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 212013235224 its reverse (422532310212), we get a palindrome (634545545436).

The spelling of 212013235224 in words is "two hundred twelve billion, thirteen million, two hundred thirty-five thousand, two hundred twenty-four".