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199440108 = 223277011129
BaseRepresentation
bin10111110001100…
…11011011101100
3111220021121101200
423320303123230
5402024040413
631442405500
74641133020
oct1370633354
9456247350
10199440108
11a264033a
1256960890
133241c4ca
141c6b8380
1512798573
hexbe336ec

199440108 has 72 divisors (see below), whose sum is σ = 577493280. Its totient is φ = 56851200.

The previous prime is 199440089. The next prime is 199440127. The reversal of 199440108 is 801044991.

It is an interprime number because it is at equal distance from previous prime (199440089) and next prime (199440127).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176088 + ... + 177216.

It is an arithmetic number, because the mean of its divisors is an integer number (8020740).

Almost surely, 2199440108 is an apocalyptic number.

199440108 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 199440108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288746640).

199440108 is an abundant number, since it is smaller than the sum of its proper divisors (378053172).

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

199440108 is a wasteful number, since it uses less digits than its factorization.

199440108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 199440108 is about 14122.3265788609. The cubic root of 199440108 is about 584.2573262369.

The spelling of 199440108 in words is "one hundred ninety-nine million, four hundred forty thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 701 1129 1402 2103 2258 2804 3387 4206 4516 4907 6309 6774 7903 8412 9814 10161 12618 13548 14721 15806 19628 20322 23709 25236 29442 31612 40644 44163 47418 58884 71127 88326 94836 142254 176652 284508 791429 1582858 2374287 3165716 4748574 5540003 7122861 9497148 11080006 14245722 16620009 22160012 28491444 33240018 49860027 66480036 99720054 199440108