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212031312 = 24337277431
BaseRepresentation
bin11001010001101…
…01011101010000
3112202222022021120
430220311131100
5413240000222
633012322240
75153144043
oct1450653520
9482868246
10212031312
11a9760299
125b013380
1334c0a61c
1420234c5a
151393415c
hexca35750

212031312 has 80 divisors (see below), whose sum is σ = 565892352. Its totient is φ = 68359680.

The previous prime is 212031311. The next prime is 212031343. The reversal of 212031312 is 213130212.

It is a junction number, because it is equal to n+sod(n) for n = 212031291 and 212031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212031311) 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 15 ways as a sum of consecutive naturals, for example, 491737 + ... + 492167.

Almost surely, 2212031312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282946176).

212031312 is an abundant number, since it is smaller than the sum of its proper divisors (353861040).

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

212031312 is a wasteful number, since it uses less digits than its factorization.

212031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212031312 is about 14561.2949973551. The cubic root of 212031312 is about 596.3025504712.

Adding to 212031312 its reverse (213130212), we get a palindrome (425161524).

The spelling of 212031312 in words is "two hundred twelve million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 277 296 431 444 554 592 831 862 888 1108 1293 1662 1724 1776 2216 2586 3324 3448 4432 5172 6648 6896 10249 10344 13296 15947 20498 20688 30747 31894 40996 47841 61494 63788 81992 95682 119387 122988 127576 163984 191364 238774 245976 255152 358161 382728 477548 491952 716322 765456 955096 1432644 1910192 2865288 4417319 5730576 8834638 13251957 17669276 26503914 35338552 53007828 70677104 106015656 212031312