199181952 has 96 divisors (see below), whose sum is σ = 588783780. Its totient is φ = 64585728.

The previous prime is 199181933. The next prime is 199181987. The reversal of 199181952 is 259181991.

199181952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 150405696 + 48776256 = 12264^2 + 6984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 199181898 and 199181907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40288 + ... + 44960.

Almost surely, 2^199181952 is an apocalyptic number.

199181952 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 199181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294391890).

199181952 is an abundant number, since it is smaller than the sum of its proper divisors (389601828).

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

199181952 is a wasteful number, since it uses less digits than its factorization.

199181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4715 counting only the distinct ones).

The product of its digits is 58320, while the sum is 45.

The square root of 199181952 is about 14113.1836238320. The cubic root of 199181952 is about 584.0051291224.

The spelling of 199181952 in words is "one hundred ninety-nine million, one hundred eighty-one thousand, nine hundred fifty-two".