193381092 has 72 divisors (see below), whose sum is σ = 514425912. Its totient is φ = 61171200.

The previous prime is 193381063. The next prime is 193381099. The reversal of 193381092 is 290183391.

193381092 is a `hidden beast` number, since 193 + 381 + 0 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16597476 + 176783616 = 4074^2 + 13296^2 .

It is a super-2 number, since 2×193381092² = 74792493486224928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (193381099) 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 23 ways as a sum of consecutive naturals, for example, 52842 + ... + 56382.

Almost surely, 2^193381092 is an apocalyptic number.

193381092 is a gapful number since it is divisible by the number (12) 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 193381092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257212956).

193381092 is an abundant number, since it is smaller than the sum of its proper divisors (321044820).

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

193381092 is a wasteful number, since it uses less digits than its factorization.

193381092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 193381092 is about 13906.1530266282. The cubic root of 193381092 is about 578.2797742002.

The spelling of 193381092 in words is "one hundred ninety-three million, three hundred eighty-one thousand, ninety-two".