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199114160 = 24571073323
BaseRepresentation
bin10111101111000…
…11110110110000
3111212200001021112
423313203312300
5401433123120
631431412452
74635304520
oct1367436660
9455601245
10199114160
11a2438463
1256824128
133233703b
141c631680
1512731bc5
hexbde3db0

199114160 has 80 divisors (see below), whose sum is σ = 534180096. Its totient is φ = 67609344.

The previous prime is 199114133. The next prime is 199114169. The reversal of 199114160 is 61411991.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (199114169) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58259 + ... + 61581.

Almost surely, 2199114160 is an apocalyptic number.

199114160 is a gapful number since it is divisible by the number (10) 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 199114160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267090048).

199114160 is an abundant number, since it is smaller than the sum of its proper divisors (335065936).

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

199114160 is a wasteful number, since it uses less digits than its factorization.

199114160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 199114160 is about 14110.7816934428. The cubic root of 199114160 is about 583.9388658093.

The spelling of 199114160 in words is "one hundred ninety-nine million, one hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2996 3323 3745 4280 5992 6646 7490 8560 11984 13292 14980 16615 23261 26584 29960 33230 46522 53168 59920 66460 93044 116305 132920 186088 232610 265840 355561 372176 465220 711122 930440 1422244 1777805 1860880 2488927 2844488 3555610 4977854 5688976 7111220 9955708 12444635 14222440 19911416 24889270 28444880 39822832 49778540 99557080 199114160