220829007 has 16 divisors (see below), whose sum is σ = 339482880. Its totient is φ = 125069952.

The previous prime is 220828999. The next prime is 220829009. The reversal of 220829007 is 700928022.

It is not a de Polignac number, because 220829007 - 2³ = 220828999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220829009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44157 + ... + 48902.

It is an arithmetic number, because the mean of its divisors is an integer number (21217680).

Almost surely, 2^220829007 is an apocalyptic number.

220829007 is a deficient number, since it is larger than the sum of its proper divisors (118653873).

220829007 is a wasteful number, since it uses less digits than its factorization.

220829007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93182.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 220829007 is about 14860.3165174905. The cubic root of 220829007 is about 604.4383896500.

The spelling of 220829007 in words is "two hundred twenty million, eight hundred twenty-nine thousand, seven".