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199219392 = 2633313719
BaseRepresentation
bin10111101111111…
…01100011000000
3111212212101122000
423313331203000
5402000010032
631433544000
74636223361
oct1367754300
9455771560
10199219392
11a24aa529
1256875000
1332372bc8
141c65bb68
1512752e7c
hexbdfd8c0

199219392 has 112 divisors (see below), whose sum is σ = 604723200. Its totient is φ = 64247040.

The previous prime is 199219381. The next prime is 199219487. The reversal of 199219392 is 293912991.

It is a super-2 number, since 2×1992193922 = 79376732297699328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51709 + ... + 55427.

Almost surely, 2199219392 is an apocalyptic number.

199219392 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 199219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302361600).

199219392 is an abundant number, since it is smaller than the sum of its proper divisors (405503808).

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

199219392 is a wasteful number, since it uses less digits than its factorization.

199219392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3755 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 199219392 is about 14114.5099808672. The cubic root of 199219392 is about 584.0417184184.

The spelling of 199219392 in words is "one hundred ninety-nine million, two hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 3719 4464 5952 6696 7438 8928 11157 13392 14876 17856 22314 26784 29752 33471 44628 53568 59504 66942 89256 100413 115289 119008 133884 178512 200826 230578 238016 267768 345867 357024 401652 461156 535536 691734 714048 803304 922312 1037601 1071072 1383468 1606608 1844624 2075202 2142144 2766936 3112803 3213216 3689248 4150404 5533872 6225606 6426432 7378496 8300808 11067744 12451212 16601616 22135488 24902424 33203232 49804848 66406464 99609696 199219392