19225980 has 144 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 4700160.

The previous prime is 19225979. The next prime is 19225981. The reversal of 19225980 is 8952291.

It is an interprime number because it is at equal distance from previous prime (19225979) and next prime (19225981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19225981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186609 + ... + 186711.

It is an arithmetic number, because the mean of its divisors is an integer number (440076).

Almost surely, 2^19225980 is an apocalyptic number.

19225980 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 19225980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

19225980 is an abundant number, since it is smaller than the sum of its proper divisors (44144964).

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

19225980 is a wasteful number, since it uses less digits than its factorization.

19225980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19225980 is about 4384.7440062106. The cubic root of 19225980 is about 267.8939024598.

The spelling of 19225980 in words is "nineteen million, two hundred twenty-five thousand, nine hundred eighty".