Search a number
-
+
212744257 = 1122816257
BaseRepresentation
bin11001010111000…
…11100001000001
3112211022112020221
430223203201001
5413430304012
633035503041
75162203435
oct1453434101
9484275227
10212744257
11aa0a7a00
125b2b7a81
13350c9c9b
142037c9c5
1513a25507
hexcae3841

212744257 has 12 divisors (see below), whose sum is σ = 234712548. Its totient is φ = 192684800.

The previous prime is 212744221. The next prime is 212744269. The reversal of 212744257 is 752447212.

It can be written as a sum of positive squares in 2 ways, for example, as 187251856 + 25492401 = 13684^2 + 5049^2 .

It is not a de Polignac number, because 212744257 - 211 = 212742209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212744297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30873 + ... + 37129.

It is an arithmetic number, because the mean of its divisors is an integer number (19559379).

Almost surely, 2212744257 is an apocalyptic number.

It is an amenable number.

212744257 is a deficient number, since it is larger than the sum of its proper divisors (21968291).

212744257 is a wasteful number, since it uses less digits than its factorization.

212744257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6549 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 212744257 is about 14585.7552769817. The cubic root of 212744257 is about 596.9701489058.

The spelling of 212744257 in words is "two hundred twelve million, seven hundred forty-four thousand, two hundred fifty-seven".

Divisors: 1 11 121 281 3091 6257 34001 68827 757097 1758217 19340387 212744257