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213744253 = 97222717
BaseRepresentation
bin11001011110101…
…11101001111101
3112220012022222211
430233113221331
5414204304003
633113140421
75203540042
oct1457275175
9486168884
10213744253
11aa720248
125b6ba711
133538a1b8
142055d1c9
1513b7196d
hexcbd7a7d

213744253 has 6 divisors (see below), whose sum is σ = 215980026. Its totient is φ = 211531392.

The previous prime is 213744241. The next prime is 213744259. The reversal of 213744253 is 352447312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14002564 + 199741689 = 3742^2 + 14133^2 .

It is not a de Polignac number, because 213744253 - 29 = 213743741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213744259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1950 + ... + 20767.

It is an arithmetic number, because the mean of its divisors is an integer number (35996671).

Almost surely, 2213744253 is an apocalyptic number.

It is an amenable number.

213744253 is a deficient number, since it is larger than the sum of its proper divisors (2235773).

213744253 is an frugal number, since it uses more digits than its factorization.

213744253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22911 (or 22814 counting only the distinct ones).

The product of its digits is 20160, while the sum is 31.

The square root of 213744253 is about 14619.9949726394. The cubic root of 213744253 is about 597.9040320936.

The spelling of 213744253 in words is "two hundred thirteen million, seven hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 97 9409 22717 2203549 213744253