42266224 has 180 divisors, whose sum is σ = 116409960. Its totient is φ = 14676480.

The previous prime is 42266221. The next prime is 42266227.

42266224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42266221) and next prime (42266227).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42266192 and 42266201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42266221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1457442 + ... + 1457470.

It is an arithmetic number, because the mean of its divisors is an integer number (646722).

Almost surely, 2^42266224 is an apocalyptic number.

42266224 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 42266224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58204980).

42266224 is an abundant number, since it is smaller than the sum of its proper divisors (74143736).

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

42266224 is a wasteful number, since it uses less digits than its factorization.

42266224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 42266224 is about 6501.2478802150. The cubic root of 42266224 is about 348.3355639355.

The spelling of 42266224 in words is "forty-two million, two hundred sixty-six thousand, two hundred twenty-four".