Search a number
-
+
212746314 = 231121811619
BaseRepresentation
bin11001010111001…
…00000001001010
3112211022122002010
430223210001022
5413430340224
633035520350
75162212434
oct1453440112
9484278063
10212746314
11aa0a9500
125b2b90b6
13350cabc1
142037d654
1513a25e29
hexcae404a

212746314 has 48 divisors (see below), whose sum is σ = 470564640. Its totient is φ = 64072800.

The previous prime is 212746301. The next prime is 212746321. The reversal of 212746314 is 413647212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130597 + ... + 132215.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2212746314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212746314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

212746314 is an abundant number, since it is smaller than the sum of its proper divisors (257818326).

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

212746314 is a wasteful number, since it uses less digits than its factorization.

212746314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1816 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 212746314 is about 14585.8257908149. The cubic root of 212746314 is about 596.9720729117.

The spelling of 212746314 in words is "two hundred twelve million, seven hundred forty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 181 242 362 363 543 726 1086 1619 1991 3238 3982 4857 5973 9714 11946 17809 21901 35618 43802 53427 65703 106854 131406 195899 293039 391798 586078 587697 879117 1175394 1758234 3223429 6446858 9670287 19340574 35457719 70915438 106373157 212746314