1929222144 has 192 divisors, whose sum is σ = 5778864000. Its totient is φ = 635904000.

The previous prime is 1929222131. The next prime is 1929222151. The reversal of 1929222144 is 4412229291.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1929222099 and 1929222108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7686019 + ... + 7686269.

It is an arithmetic number, because the mean of its divisors is an integer number (30098250).

Almost surely, 2^1929222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1929222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432000).

1929222144 is an abundant number, since it is smaller than the sum of its proper divisors (3849641856).

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

1929222144 is a wasteful number, since it uses less digits than its factorization.

1929222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1929222144 is about 43922.9113789148. The cubic root of 1929222144 is about 1244.8797793627.

The spelling of 1929222144 in words is "one billion, nine hundred twenty-nine million, two hundred twenty-two thousand, one hundred forty-four".