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214131040 = 2551338319
BaseRepresentation
bin11001100001101…
…10000101100000
3112220220222120021
430300312011200
5414304143130
633125323224
75210040514
oct1460660540
9486828507
10214131040
11aa964902
125b866514
1335494276
1420620144
1513beb37a
hexcc36160

214131040 has 24 divisors (see below), whose sum is σ = 505884960. Its totient is φ = 85652352.

The previous prime is 214131037. The next prime is 214131061. The reversal of 214131040 is 40131412.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 669000 + ... + 669319.

It is an arithmetic number, because the mean of its divisors is an integer number (21078540).

Almost surely, 2214131040 is an apocalyptic number.

214131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214131040 is an abundant number, since it is smaller than the sum of its proper divisors (291753920).

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

214131040 is a wasteful number, since it uses less digits than its factorization.

214131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338334 (or 1338326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 214131040 is about 14633.2170078900. The cubic root of 214131040 is about 598.2644661925.

Adding to 214131040 its reverse (40131412), we get a palindrome (254262452).

The spelling of 214131040 in words is "two hundred fourteen million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1338319 2676638 5353276 6691595 10706552 13383190 21413104 26766380 42826208 53532760 107065520 214131040