42202240 has 128 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 15544320.

The previous prime is 42202231. The next prime is 42202241. The reversal of 42202240 is 4220224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42202240² = 3562058122035200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42202241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691810 + ... + 691870.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^42202240 is an apocalyptic number.

42202240 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 42202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

42202240 is an abundant number, since it is smaller than the sum of its proper divisors (67076480).

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

42202240 is a wasteful number, since it uses less digits than its factorization.

42202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

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

The square root of 42202240 is about 6496.3251150170. The cubic root of 42202240 is about 348.1597012189.

Adding to 42202240 its reverse (4220224), we get a palindrome (46422464).

The spelling of 42202240 in words is "forty-two million, two hundred two thousand, two hundred forty".