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213967485 = 32537128509
BaseRepresentation
bin11001100000011…
…10001001111101
3112220121200012200
430300032021331
5414233424420
633122022113
75205456624
oct1460161175
9486550180
10213967485
11aa862a36
125b7a7939
13354379a4
14205ba6bb
1513bb7b90
hexcc0e27d

213967485 has 24 divisors (see below), whose sum is σ = 380903640. Its totient is φ = 111030912.

The previous prime is 213967477. The next prime is 213967499. The reversal of 213967485 is 584769312.

213967485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 86322681 + 127644804 = 9291^2 + 11298^2 .

It is not a de Polignac number, because 213967485 - 23 = 213967477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213967485.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62590 + ... + 65919.

It is an arithmetic number, because the mean of its divisors is an integer number (15870985).

Almost surely, 2213967485 is an apocalyptic number.

It is an amenable number.

213967485 is a deficient number, since it is larger than the sum of its proper divisors (166936155).

213967485 is a wasteful number, since it uses less digits than its factorization.

213967485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128557 (or 128554 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213967485 is about 14627.6274562897. The cubic root of 213967485 is about 598.1121076679.

The spelling of 213967485 in words is "two hundred thirteen million, nine hundred sixty-seven thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 128509 385527 642545 1156581 1927635 4754833 5782905 14264499 23774165 42793497 71322495 213967485