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214124004 = 223243138323
BaseRepresentation
bin11001100001101…
…00010111100100
3112220220121220200
430300310113210
5414303432004
633125230500
75210011143
oct1460642744
9486817820
10214124004
11aa95a596
125b862430
1335490cc3
142061b75a
1513be9239
hexcc345e4

214124004 has 36 divisors (see below), whose sum is σ = 553849296. Its totient is φ = 69714288.

The previous prime is 214123999. The next prime is 214124033. The reversal of 214124004 is 400421412.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67614 + ... + 70709.

Almost surely, 2214124004 is an apocalyptic number.

It is an amenable number.

214124004 is an abundant number, since it is smaller than the sum of its proper divisors (339725292).

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

214124004 is a wasteful number, since it uses less digits than its factorization.

214124004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138376 (or 138371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214124004 is about 14632.9765939811. The cubic root of 214124004 is about 598.2579134528.

Adding to 214124004 its reverse (400421412), we get a palindrome (614545416).

The spelling of 214124004 in words is "two hundred fourteen million, one hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 138323 276646 414969 553292 829938 1244907 1659876 2489814 4979628 5947889 11895778 17843667 23791556 35687334 53531001 71374668 107062002 214124004