193442000 has 60 divisors (see below), whose sum is σ = 469251588. Its totient is φ = 77128000.

The previous prime is 193441949. The next prime is 193442003. The reversal of 193442000 is 244391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6190144 + 187251856 = 2488^2 + 13684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193442003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621845 + ... + 622155.

Almost surely, 2^193442000 is an apocalyptic number.

193442000 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 193442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234625794).

193442000 is an abundant number, since it is smaller than the sum of its proper divisors (275809588).

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

193442000 is an frugal number, since it uses more digits than its factorization.

193442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 193442000 is about 13908.3428200487. The cubic root of 193442000 is about 578.3404801822.

Adding to 193442000 its reverse (244391), we get a palindrome (193686391).

It can be divided in two parts, 1934 and 42000, that added together give a palindrome (43934).

The spelling of 193442000 in words is "one hundred ninety-three million, four hundred forty-two thousand".