19229920 has 48 divisors (see below), whose sum is σ = 46908288. Its totient is φ = 7441920.

The previous prime is 19229911. The next prime is 19229939. The reversal of 19229920 is 2992291.

It is a super-3 number, since 3×19229920³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3022 + ... + 6898.

It is an arithmetic number, because the mean of its divisors is an integer number (977256).

Almost surely, 2^19229920 is an apocalyptic number.

19229920 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 19229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454144).

19229920 is an abundant number, since it is smaller than the sum of its proper divisors (27678368).

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

19229920 is a wasteful number, since it uses less digits than its factorization.

19229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 19229920 is about 4385.1932682608. The cubic root of 19229920 is about 267.9122011349.

The spelling of 19229920 in words is "nineteen million, two hundred twenty-nine thousand, nine hundred twenty".