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212433504 = 2537330313
BaseRepresentation
bin11001010100101…
…11101001100000
3112210201201222120
430222113221200
5413340333004
633025104240
75156440443
oct1452275140
9483651876
10212433504
11a9a05488
125b188080
133501b6ca
14202db65a
15139b33d9
hexca97a60

212433504 has 48 divisors (see below), whose sum is σ = 565295472. Its totient is φ = 69838848.

The previous prime is 212433503. The next prime is 212433511. The reversal of 212433504 is 405334212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212433503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8149 + ... + 22164.

It is an arithmetic number, because the mean of its divisors is an integer number (11776989).

Almost surely, 2212433504 is an apocalyptic number.

212433504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212433504 is an abundant number, since it is smaller than the sum of its proper divisors (352861968).

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

212433504 is a wasteful number, since it uses less digits than its factorization.

212433504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30399 (or 30391 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 212433504 is about 14575.0987646739. The cubic root of 212433504 is about 596.6793448752.

Adding to 212433504 its reverse (405334212), we get a palindrome (617767716).

The spelling of 212433504 in words is "two hundred twelve million, four hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 30313 60626 90939 121252 181878 242504 363756 485008 727512 970016 1455024 2212849 2910048 4425698 6638547 8851396 13277094 17702792 26554188 35405584 53108376 70811168 106216752 212433504