42200224 has 48 divisors (see below), whose sum is σ = 91609056. Its totient is φ = 18976000.

The previous prime is 42200203. The next prime is 42200237.

42200224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42200198 and 42200207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34959 + ... + 36145.

It is an arithmetic number, because the mean of its divisors is an integer number (1908522).

Almost surely, 2^42200224 is an apocalyptic number.

42200224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45804528).

42200224 is an abundant number, since it is smaller than the sum of its proper divisors (49408832).

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

42200224 is a wasteful number, since it uses less digits than its factorization.

42200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42200224 is about 6496.1699485158. The cubic root of 42200224 is about 348.1541572704.

It can be divided in two parts, 42200 and 224, that added together give a palindrome (42424).

The spelling of 42200224 in words is "forty-two million, two hundred thousand, two hundred twenty-four".