Search a number
-
+
212133344 = 2517419511
BaseRepresentation
bin11001010010011…
…10010111100000
3112210011111020112
430221032113200
5413301231334
633014430452
75154050363
oct1451162740
9483144215
10212133344
11a981aa15
125b062428
1334c44bb7
14202600da
15139544ce
hexca4e5e0

212133344 has 48 divisors (see below), whose sum is σ = 453037536. Its totient is φ = 97382400.

The previous prime is 212133331. The next prime is 212133367. The reversal of 212133344 is 443331212.

It is a congruent number.

It is an unprimeable number.

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, 17549 + ... + 27059.

It is an arithmetic number, because the mean of its divisors is an integer number (9438282).

Almost surely, 2212133344 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 212133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226518768).

212133344 is an abundant number, since it is smaller than the sum of its proper divisors (240904192).

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

212133344 is a wasteful number, since it uses less digits than its factorization.

212133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9571 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 212133344 is about 14564.7981105129. The cubic root of 212133344 is about 596.3981844361.

Adding to 212133344 its reverse (443331212), we get a palindrome (655464556).

The spelling of 212133344 in words is "two hundred twelve million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 9511 11152 19022 22304 38044 76088 152176 161687 304352 323374 389951 646748 779902 1293496 1559804 2586992 3119608 5173984 6239216 6629167 12478432 13258334 26516668 53033336 106066672 212133344