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213005493 = 3229816113
BaseRepresentation
bin11001011001000…
…11010010110101
3112211210210121100
430230203102311
5414012133433
633045240313
75164342161
oct1454432265
9484723540
10213005493
11aa2661a8
125b403099
133518bb6c
1420409ca1
1513a77b13
hexcb234b5

213005493 has 12 divisors (see below), whose sum is σ = 318284460. Its totient is φ = 137106816.

The previous prime is 213005491. The next prime is 213005509. The reversal of 213005493 is 394500312.

213005493 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 2 ways, for example, as 156800484 + 56205009 = 12522^2 + 7497^2 .

It is not a de Polignac number, because 213005493 - 21 = 213005491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213005491) 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, 407796 + ... + 408317.

It is an arithmetic number, because the mean of its divisors is an integer number (26523705).

Almost surely, 2213005493 is an apocalyptic number.

It is an amenable number.

213005493 is a deficient number, since it is larger than the sum of its proper divisors (105278967).

213005493 is a wasteful number, since it uses less digits than its factorization.

213005493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816148 (or 816145 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213005493 is about 14594.7077051923. The cubic root of 213005493 is about 597.2143956951.

The spelling of 213005493 in words is "two hundred thirteen million, five thousand, four hundred ninety-three".

Divisors: 1 3 9 29 87 261 816113 2448339 7345017 23667277 71001831 213005493