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214005588 = 223171955213
BaseRepresentation
bin11001100000101…
…11011101010100
3112220200121110220
430300113131110
5414241134323
633122514340
75206005666
oct1460273524
9486617426
10214005588
11aa889625
125b8059b0
133544c134
14205ca536
1513bc40e3
hexcc17754

214005588 has 48 divisors (see below), whose sum is σ = 556557120. Its totient is φ = 63604224.

The previous prime is 214005581. The next prime is 214005599. The reversal of 214005588 is 885500412.

214005588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2140055883 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214005581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23731 + ... + 31482.

It is an arithmetic number, because the mean of its divisors is an integer number (11594940).

Almost surely, 2214005588 is an apocalyptic number.

It is an amenable number.

214005588 is an abundant number, since it is smaller than the sum of its proper divisors (342551532).

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

214005588 is a wasteful number, since it uses less digits than its factorization.

214005588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55256 (or 55254 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 214005588 is about 14628.9298309890. The cubic root of 214005588 is about 598.1476091881.

The spelling of 214005588 in words is "two hundred fourteen million, five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 3876 55213 110426 165639 220852 331278 662556 938621 1049047 1877242 2098094 2815863 3147141 3754484 4196188 5631726 6294282 11263452 12588564 17833799 35667598 53501397 71335196 107002794 214005588