6220305 has 96 divisors (see below), whose sum is σ = 13977600. Its totient is φ = 2540160.

The previous prime is 6220289. The next prime is 6220307. The reversal of 6220305 is 5030226.

6220305 = 151² + 152² + ... + 280².

It is not a de Polignac number, because 6220305 - 2⁴ = 6220289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6220307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200640 + ... + 200670.

It is an arithmetic number, because the mean of its divisors is an integer number (145600).

Almost surely, 2^6220305 is an apocalyptic number.

6220305 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6220305 is an abundant number, since it is smaller than the sum of its proper divisors (7757295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6220305 is a wasteful number, since it uses less digits than its factorization.

6220305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6220305 is about 2494.0539288476. The cubic root of 6220305 is about 183.9093855179.

The spelling of 6220305 in words is "six million, two hundred twenty thousand, three hundred five".