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214505136 = 24321978401
BaseRepresentation
bin11001100100100…
…01011010110000
3112221121222201200
430302101122300
5414403131021
633141331200
75213156256
oct1462213260
9487558650
10214505136
1110009a97a
125ba06b00
1335595621
14206ba5d6
1513c72126
hexcc916b0

214505136 has 60 divisors (see below), whose sum is σ = 631920120. Its totient is φ = 67737600.

The previous prime is 214505131. The next prime is 214505143. The reversal of 214505136 is 631505412.

214505136 is a `hidden beast` number, since 2 + 145 + 0 + 513 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (214505131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36465 + ... + 41936.

It is an arithmetic number, because the mean of its divisors is an integer number (10532002).

Almost surely, 2214505136 is an apocalyptic number.

It is an amenable number.

214505136 is an abundant number, since it is smaller than the sum of its proper divisors (417414984).

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

214505136 is a wasteful number, since it uses less digits than its factorization.

214505136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78434 (or 78425 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 214505136 is about 14645.9938549762. The cubic root of 214505136 is about 598.6126612913.

The spelling of 214505136 in words is "two hundred fourteen million, five hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 78401 156802 235203 313604 470406 627208 705609 940812 1254416 1411218 1489619 1881624 2822436 2979238 3763248 4468857 5644872 5958476 8937714 11289744 11916952 13406571 17875428 23833904 26813142 35750856 53626284 71501712 107252568 214505136