22693440 has 224 divisors, whose sum is σ = 90123264. Its totient is φ = 4700160.

The previous prime is 22693409. The next prime is 22693471. The reversal of 22693440 is 4439622.

It is an interprime number because it is at equal distance from previous prime (22693409) and next prime (22693471).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22693398 and 22693407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73767 + ... + 74073.

It is an arithmetic number, because the mean of its divisors is an integer number (402336).

Almost surely, 2^22693440 is an apocalyptic number.

22693440 is a gapful number since it is divisible by the number (20) 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 22693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45061632).

22693440 is an abundant number, since it is smaller than the sum of its proper divisors (67429824).

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

22693440 is a wasteful number, since it uses less digits than its factorization.

22693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 22693440 is about 4763.7632182971. The cubic root of 22693440 is about 283.1175411881.

The spelling of 22693440 in words is "twenty-two million, six hundred ninety-three thousand, four hundred forty".