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312223253 is a prime number
BaseRepresentation
bin10010100111000…
…010011000010101
3210202111120210012
4102213002120111
51114412121003
650552010005
710510565606
oct2247023025
9722446705
10312223253
11150272a51
1288690905
134c8ba5b4
142d675dad
151c6258d8
hex129c2615

312223253 has 2 divisors, whose sum is σ = 312223254. Its totient is φ = 312223252.

The previous prime is 312223237. The next prime is 312223267. The reversal of 312223253 is 352322213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189833284 + 122389969 = 13778^2 + 11063^2 .

It is a cyclic number.

It is not a de Polignac number, because 312223253 - 24 = 312223237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312223553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156111626 + 156111627.

It is an arithmetic number, because the mean of its divisors is an integer number (156111627).

Almost surely, 2312223253 is an apocalyptic number.

It is an amenable number.

312223253 is a deficient number, since it is larger than the sum of its proper divisors (1).

312223253 is an equidigital number, since it uses as much as digits as its factorization.

312223253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 23.

The square root of 312223253 is about 17669.8402086720. The cubic root of 312223253 is about 678.4040231367.

Adding to 312223253 its reverse (352322213), we get a palindrome (664545466).

The spelling of 312223253 in words is "three hundred twelve million, two hundred twenty-three thousand, two hundred fifty-three".