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214055504 = 24131029113
BaseRepresentation
bin11001100001000…
…11101001010000
3112220210010221122
430300203221100
5414244234004
633123541412
75206304345
oct1460435120
9486703848
10214055504
11aa913083
125b82a868
1335468a80
14206007cc
1513bd3cbe
hexcc23a50

214055504 has 20 divisors (see below), whose sum is σ = 446635476. Its totient is φ = 98794752.

The previous prime is 214055489. The next prime is 214055509. The reversal of 214055504 is 405550412.

It can be written as a sum of positive squares in 2 ways, for example, as 117072400 + 96983104 = 10820^2 + 9848^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214055509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514349 + ... + 514764.

Almost surely, 2214055504 is an apocalyptic number.

It is an amenable number.

214055504 is an abundant number, since it is smaller than the sum of its proper divisors (232579972).

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

214055504 is a wasteful number, since it uses less digits than its factorization.

214055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029134 (or 1029128 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 214055504 is about 14630.6358029991. The cubic root of 214055504 is about 598.1941108009.

The spelling of 214055504 in words is "two hundred fourteen million, fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1029113 2058226 4116452 8232904 13378469 16465808 26756938 53513876 107027752 214055504