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214133024 = 257955951
BaseRepresentation
bin11001100001101…
…10100100100000
3112220221002021202
430300312210200
5414304224044
633125340332
75210046350
oct1460664440
9486832252
10214133024
11aa966346
125b8676a8
1335495141
1420620b60
1513bebc4e
hexcc36920

214133024 has 24 divisors (see below), whose sum is σ = 481799808. Its totient is φ = 91771200.

The previous prime is 214133011. The next prime is 214133083. The reversal of 214133024 is 420331412.

It is a junction number, because it is equal to n+sod(n) for n = 214132987 and 214133005.

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, 477752 + ... + 478199.

It is an arithmetic number, because the mean of its divisors is an integer number (20074992).

Almost surely, 2214133024 is an apocalyptic number.

It is an amenable number.

214133024 is an abundant number, since it is smaller than the sum of its proper divisors (267666784).

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

214133024 is an equidigital number, since it uses as much as digits as its factorization.

214133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955968 (or 955960 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 214133024 is about 14633.2847987046. The cubic root of 214133024 is about 598.2663138976.

Adding to 214133024 its reverse (420331412), we get a palindrome (634464436).

The spelling of 214133024 in words is "two hundred fourteen million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 955951 1911902 3823804 6691657 7647608 13383314 15295216 26766628 30590432 53533256 107066512 214133024