Search a number
-
+
212606761 is a prime number
BaseRepresentation
bin11001010110000…
…01111100101001
3112211001112122111
430223001330221
5413411404021
633032522321
75161061533
oct1453017451
9484045574
10212606761
11aa013674
125b2503a1
133507c523
1420344853
15139e98e1
hexcac1f29

212606761 has 2 divisors, whose sum is σ = 212606762. Its totient is φ = 212606760.

The previous prime is 212606701. The next prime is 212606791. The reversal of 212606761 is 167606212.

It is a happy number.

212606761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162409536 + 50197225 = 12744^2 + 7085^2 .

It is a cyclic number.

It is not a de Polignac number, because 212606761 - 213 = 212598569 is a prime.

It is a super-2 number, since 2×2126067612 = 90403269645822242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212606701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106303380 + 106303381.

It is an arithmetic number, because the mean of its divisors is an integer number (106303381).

Almost surely, 2212606761 is an apocalyptic number.

It is an amenable number.

212606761 is a deficient number, since it is larger than the sum of its proper divisors (1).

212606761 is an equidigital number, since it uses as much as digits as its factorization.

212606761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 212606761 is about 14581.0411493830. The cubic root of 212606761 is about 596.8415144944.

The spelling of 212606761 in words is "two hundred twelve million, six hundred six thousand, seven hundred sixty-one".