220416629 has 2 divisors, whose sum is σ = 220416630. Its totient is φ = 220416628.

The previous prime is 220416593. The next prime is 220416631. The reversal of 220416629 is 926614022.

220416629 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., 144552529 + 75864100 = 12023^2 + 8710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-220416629 is a prime.

Together with 220416631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 220416595 and 220416604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220416649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110208314 + 110208315.

It is an arithmetic number, because the mean of its divisors is an integer number (110208315).

Almost surely, 2^220416629 is an apocalyptic number.

It is an amenable number.

220416629 is a deficient number, since it is larger than the sum of its proper divisors (1).

220416629 is an equidigital number, since it uses as much as digits as its factorization.

220416629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 220416629 is about 14846.4348919193. The cubic root of 220416629 is about 604.0619107116.

The spelling of 220416629 in words is "two hundred twenty million, four hundred sixteen thousand, six hundred twenty-nine".