220106628 has 54 divisors (see below), whose sum is σ = 647223486. Its totient is φ = 62887104.

The previous prime is 220106617. The next prime is 220106641. The reversal of 220106628 is 826601022.

220106628 is a `hidden beast` number, since 2 + 20 + 10 + 6 + 628 = 666.

220106628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 20958084 = 14112^2 + 4578^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60625 + ... + 64152.

Almost surely, 2^220106628 is an apocalyptic number.

220106628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220106628 is an abundant number, since it is smaller than the sum of its proper divisors (427116858).

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

220106628 is a wasteful number, since it uses less digits than its factorization.

220106628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124801 (or 124789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220106628 is about 14835.9909679131. The cubic root of 220106628 is about 603.7785871782.

The spelling of 220106628 in words is "two hundred twenty million, one hundred six thousand, six hundred twenty-eight".