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214297605 = 32518892521
BaseRepresentation
bin11001100010111…
…10110000000101
3112221020110001100
430301132300011
5414330010410
633133050313
75211333234
oct1461366005
9487213040
10214297605
11aaa68a65
125b926999
1335522022
1420664b1b
1513c308c0
hexcc5ec05

214297605 has 24 divisors (see below), whose sum is σ = 371793240. Its totient is φ = 114186240.

The previous prime is 214297583. The next prime is 214297609. The reversal of 214297605 is 506792412.

214297605 is a `hidden beast` number, since 2 + 1 + 42 + 9 + 7 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 933156 + 213364449 = 966^2 + 14607^2 .

It is not a de Polignac number, because 214297605 - 29 = 214297093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214297605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214297609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83745 + ... + 86265.

It is an arithmetic number, because the mean of its divisors is an integer number (15491385).

Almost surely, 2214297605 is an apocalyptic number.

It is an amenable number.

214297605 is a deficient number, since it is larger than the sum of its proper divisors (157495635).

214297605 is a wasteful number, since it uses less digits than its factorization.

214297605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 214297605 is about 14638.9072338068. The cubic root of 214297605 is about 598.4195489460.

The spelling of 214297605 in words is "two hundred fourteen million, two hundred ninety-seven thousand, six hundred five".

Divisors: 1 3 5 9 15 45 1889 2521 5667 7563 9445 12605 17001 22689 28335 37815 85005 113445 4762169 14286507 23810845 42859521 71432535 214297605