42222240 has 144 divisors (see below), whose sum is σ = 145945800. Its totient is φ = 11114496.

The previous prime is 42222239. The next prime is 42222253. The reversal of 42222240 is 4222224.

42222240 is a `hidden beast` number, since 422 + 2 + 2 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 14470416 = 5268^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156826 + ... + 157094.

Almost surely, 2^42222240 is an apocalyptic number.

42222240 is a gapful number since it is divisible by the number (40) 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 42222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72972900).

42222240 is an abundant number, since it is smaller than the sum of its proper divisors (103723560).

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

42222240 is a wasteful number, since it uses less digits than its factorization.

42222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42222240 is about 6497.8642645103. The cubic root of 42222240 is about 348.2146911463.

Adding to 42222240 its reverse (4222224), we get a palindrome (46444464).

The spelling of 42222240 in words is "forty-two million, two hundred twenty-two thousand, two hundred forty".