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212343144 = 23313680587
BaseRepresentation
bin11001010100000…
…01100101101000
3112210120011000220
430222001211220
5413324440034
633023130040
75155613136
oct1452014550
9483504026
10212343144
11a9953602
125b143920
1334cb9540
14202b6756
1513996749
hexca81968

212343144 has 32 divisors (see below), whose sum is σ = 571693920. Its totient is φ = 65336256.

The previous prime is 212343143. The next prime is 212343151. The reversal of 212343144 is 441343212.

It is a super-2 number, since 2×2123431442 = 90179221607609472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212343143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 339982 + ... + 340605.

It is an arithmetic number, because the mean of its divisors is an integer number (17865435).

Almost surely, 2212343144 is an apocalyptic number.

212343144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212343144 is an abundant number, since it is smaller than the sum of its proper divisors (359350776).

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

212343144 is a wasteful number, since it uses less digits than its factorization.

212343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680609 (or 680605 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 212343144 is about 14571.9986275047. The cubic root of 212343144 is about 596.5947323715.

Adding to 212343144 its reverse (441343212), we get a palindrome (653686356).

The spelling of 212343144 in words is "two hundred twelve million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 680587 1361174 2041761 2722348 4083522 5444696 8167044 8847631 16334088 17695262 26542893 35390524 53085786 70781048 106171572 212343144