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199343144 = 237112133173
BaseRepresentation
bin10111110000110…
…11110000101000
3111220002200101102
423320123300220
5402012440034
631440340532
74640250230
oct1370336050
9456080342
10199343144
11a2584500
1256914748
13323b7330
141c690cc0
151277997e
hexbe1bc28

199343144 has 192 divisors, whose sum is σ = 529105920. Its totient is φ = 68428800.

The previous prime is 199343143. The next prime is 199343159. The reversal of 199343144 is 441343991.

It is a happy number.

199343144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199343098 and 199343107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199343143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2730692 + ... + 2730764.

It is an arithmetic number, because the mean of its divisors is an integer number (2755760).

Almost surely, 2199343144 is an apocalyptic number.

199343144 is a gapful number since it is divisible by the number (14) 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 199343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264552960).

199343144 is an abundant number, since it is smaller than the sum of its proper divisors (329762776).

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

199343144 is a wasteful number, since it uses less digits than its factorization.

199343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 199343144 is about 14118.8931577514. The cubic root of 199343144 is about 584.1626259424.

It can be divided in two parts, 199 and 343144, that added together give a palindrome (343343).

The spelling of 199343144 in words is "one hundred ninety-nine million, three hundred forty-three thousand, one hundred forty-four".