42211224 has 96 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 12680640.

The previous prime is 42211219. The next prime is 42211259.

42211224 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42211197 and 42211206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176497 + ... + 176735.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^42211224 is an apocalyptic number.

42211224 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 42211224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

42211224 is an abundant number, since it is smaller than the sum of its proper divisors (83587176).

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

42211224 is a wasteful number, since it uses less digits than its factorization.

42211224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 42211224 is about 6497.0165460771. The cubic root of 42211224 is about 348.1844048431.

It can be divided in two parts, 4221 and 1224, that added together give a palindrome (5445).

The spelling of 42211224 in words is "forty-two million, two hundred eleven thousand, two hundred twenty-four".