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214805907 = 32179133337
BaseRepresentation
bin11001100110110…
…10110110010011
3112222012021022100
430303122312103
5414442242112
633152011443
75215551201
oct1463326623
9488167270
10214805907
11100285948
125bb30b83
133566c4b4
1420758071
1513cd12dc
hexccdad93

214805907 has 12 divisors (see below), whose sum is σ = 312010920. Its totient is φ = 142402848.

The previous prime is 214805867. The next prime is 214805911. The reversal of 214805907 is 709508412.

214805907 is a `hidden beast` number, since 21 + 48 + 0 + 590 + 7 = 666.

It is not a de Polignac number, because 214805907 - 216 = 214740371 is a prime.

It is a super-3 number, since 3×2148059073 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (214805917) 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, 65058 + ... + 68279.

It is an arithmetic number, because the mean of its divisors is an integer number (26000910).

Almost surely, 2214805907 is an apocalyptic number.

214805907 is a deficient number, since it is larger than the sum of its proper divisors (97205013).

214805907 is a wasteful number, since it uses less digits than its factorization.

214805907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133522 (or 133519 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 214805907 is about 14656.2582878441. The cubic root of 214805907 is about 598.8923146470.

The spelling of 214805907 in words is "two hundred fourteen million, eight hundred five thousand, nine hundred seven".

Divisors: 1 3 9 179 537 1611 133337 400011 1200033 23867323 71601969 214805907