13222440 has 320 divisors, whose sum is σ = 56453760. Its totient is φ = 2695680.

The previous prime is 13222439. The next prime is 13222441. The reversal of 13222440 is 4422231.

13222440 = T₃₃₅ + T₃₃₆ + ... + T₄₈₈.

13222440 is a `hidden beast` number, since 1 + 3 + 222 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (13222439) and next prime (13222441).

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

It is not an unprimeable number, because it can be changed into a prime (13222441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249454 + ... + 249506.

It is an arithmetic number, because the mean of its divisors is an integer number (176418).

Almost surely, 2^13222440 is an apocalyptic number.

13222440 is a gapful number since it is divisible by the number (10) 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 13222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226880).

13222440 is an abundant number, since it is smaller than the sum of its proper divisors (43231320).

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

13222440 is a wasteful number, since it uses less digits than its factorization.

13222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13222440 is about 3636.2673169062. The cubic root of 13222440 is about 236.4669963943.

Adding to 13222440 its reverse (4422231), we get a palindrome (17644671).

The spelling of 13222440 in words is "thirteen million, two hundred twenty-two thousand, four hundred forty".