42206220 has 288 divisors, whose sum is σ = 161441280. Its totient is φ = 8709120.

The previous prime is 42206209. The next prime is 42206249. The reversal of 42206220 is 2260224.

It is a happy number.

42206220 is a `hidden beast` number, since 42 + 2 + 0 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42206193 and 42206202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981519 + ... + 981561.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 2^42206220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42206220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80720640).

42206220 is an abundant number, since it is smaller than the sum of its proper divisors (119235060).

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

42206220 is a wasteful number, since it uses less digits than its factorization.

42206220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42206220 is about 6496.6314348284. The cubic root of 42206220 is about 348.1706455989.

Adding to 42206220 its reverse (2260224), we get a palindrome (44466444).

It can be divided in two parts, 4220 and 6220, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 42206220 in words is "forty-two million, two hundred six thousand, two hundred twenty".