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212531424 = 2537245181
BaseRepresentation
bin11001010101011…
…11100011100000
3112210220201022020
430222233203200
5413402001144
633031141440
75160326100
oct1452574340
9483821266
10212531424
11a9a72006
125b214880
1335054151
1420325200
15139d2419
hexcaaf8e0

212531424 has 72 divisors (see below), whose sum is σ = 648994248. Its totient is φ = 60721920.

The previous prime is 212531383. The next prime is 212531447. The reversal of 212531424 is 424135212.

212531424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212531394 and 212531403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17887 + ... + 27294.

It is an arithmetic number, because the mean of its divisors is an integer number (9013809).

Almost surely, 2212531424 is an apocalyptic number.

212531424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212531424 is an abundant number, since it is smaller than the sum of its proper divisors (436462824).

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

212531424 is a wasteful number, since it uses less digits than its factorization.

212531424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45208 (or 45193 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 212531424 is about 14578.4575315772. The cubic root of 212531424 is about 596.7710094282.

Adding to 212531424 its reverse (424135212), we get a palindrome (636666636).

The spelling of 212531424 in words is "two hundred twelve million, five hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 45181 90362 135543 180724 271086 316267 361448 542172 632534 722896 948801 1084344 1265068 1445792 1897602 2168688 2213869 2530136 3795204 4337376 4427738 5060272 6641607 7590408 8855476 10120544 13283214 15180816 17710952 26566428 30361632 35421904 53132856 70843808 106265712 212531424