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199026820 = 225172331821
BaseRepresentation
bin10111101110011…
…10100010000100
3111212111121110201
423313032202010
5401422324240
631425500244
74634462056
oct1367164204
9455447421
10199026820
11a2388883
12567a1684
1332306365
141c60b8d6
1512715d9a
hexbdce884

199026820 has 96 divisors (see below), whose sum is σ = 477259776. Its totient is φ = 69273600.

The previous prime is 199026809. The next prime is 199026823. The reversal of 199026820 is 28620991.

199026820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990268202 = 79223350158624800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199026820.

It is not an unprimeable number, because it can be changed into a prime (199026823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242010 + ... + 242830.

It is an arithmetic number, because the mean of its divisors is an integer number (4971456).

Almost surely, 2199026820 is an apocalyptic number.

199026820 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 199026820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238629888).

199026820 is an abundant number, since it is smaller than the sum of its proper divisors (278232956).

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

199026820 is a wasteful number, since it uses less digits than its factorization.

199026820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 199026820 is about 14107.6865573346. The cubic root of 199026820 is about 583.8534731222.

The spelling of 199026820 in words is "one hundred ninety-nine million, twenty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 31 34 46 62 68 85 92 115 124 155 170 230 310 340 391 460 527 620 713 782 821 1054 1426 1564 1642 1955 2108 2635 2852 3284 3565 3910 4105 5270 7130 7820 8210 10540 12121 13957 14260 16420 18883 24242 25451 27914 37766 48484 50902 55828 60605 69785 75532 94415 101804 121210 127255 139570 188830 242420 254510 279140 321011 377660 432667 509020 585373 642022 865334 1170746 1284044 1605055 1730668 2163335 2341492 2926865 3210110 4326670 5853730 6420220 8653340 9951341 11707460 19902682 39805364 49756705 99513410 199026820