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213730993 = 7238911213
BaseRepresentation
bin11001011110101…
…00011010110001
3112220011122210201
430233110122301
5414203342433
633112555201
75203453300
oct1457243261
9486148721
10213730993
11aa711293
125b6b2b01
1335384158
1420558437
1513b6ca7d
hexcbd46b1

213730993 has 12 divisors (see below), whose sum is σ = 249287220. Its totient is φ = 182710752.

The previous prime is 213730963. The next prime is 213730997. The reversal of 213730993 is 399037312.

It can be written as a sum of positive squares in 2 ways, for example, as 25684624 + 188046369 = 5068^2 + 13713^2 .

It is not a de Polignac number, because 213730993 - 25 = 213730961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213730997) 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, 13455 + ... + 24667.

It is an arithmetic number, because the mean of its divisors is an integer number (20773935).

Almost surely, 2213730993 is an apocalyptic number.

It is an amenable number.

213730993 is a deficient number, since it is larger than the sum of its proper divisors (35556227).

213730993 is a wasteful number, since it uses less digits than its factorization.

213730993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 213730993 is about 14619.5414770779. The cubic root of 213730993 is about 597.8916678292.

The spelling of 213730993 in words is "two hundred thirteen million, seven hundred thirty thousand, nine hundred ninety-three".

Divisors: 1 7 49 389 2723 11213 19061 78491 549437 4361857 30532999 213730993