193210848 has 288 divisors, whose sum is σ = 641571840. Its totient is φ = 54743040.

The previous prime is 193210837. The next prime is 193210859. The reversal of 193210848 is 848012391.

It is an interprime number because it is at equal distance from previous prime (193210837) and next prime (193210859).

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 2883711 + ... + 2883777.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2^193210848 is an apocalyptic number.

193210848 is a gapful number since it is divisible by the number (18) 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 193210848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

193210848 is an abundant number, since it is smaller than the sum of its proper divisors (448360992).

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

193210848 is a wasteful number, since it uses less digits than its factorization.

193210848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193210848 is about 13900.0305035637. The cubic root of 193210848 is about 578.1100272256.

The spelling of 193210848 in words is "one hundred ninety-three million, two hundred ten thousand, eight hundred forty-eight".