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214777147 = 1341537603
BaseRepresentation
bin11001100110100…
…11110100111011
3112222010210212011
430303103310323
5414440332042
633151230351
75215401304
oct1463236473
9488123764
10214777147
11100266282
125bb183b7
133565c390
142074b7ab
1513cc7a17
hexccd3d3b

214777147 has 16 divisors (see below), whose sum is σ = 241442208. Its totient is φ = 189745920.

The previous prime is 214777139. The next prime is 214777153. The reversal of 214777147 is 741777412.

It is not a de Polignac number, because 214777147 - 23 = 214777139 is a prime.

It is a super-2 number, since 2×2147771472 = 92258445746919218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214777117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24448 + ... + 32050.

It is an arithmetic number, because the mean of its divisors is an integer number (15090138).

Almost surely, 2214777147 is an apocalyptic number.

214777147 is a deficient number, since it is larger than the sum of its proper divisors (26665061).

214777147 is a wasteful number, since it uses less digits than its factorization.

214777147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7710.

The product of its digits is 76832, while the sum is 40.

The square root of 214777147 is about 14655.2771041697. The cubic root of 214777147 is about 598.8655852273.

The spelling of 214777147 in words is "two hundred fourteen million, seven hundred seventy-seven thousand, one hundred forty-seven".

Divisors: 1 13 41 53 533 689 2173 7603 28249 98839 311723 402959 4052399 5238467 16521319 214777147