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199062468 = 223311198819
BaseRepresentation
bin10111101110101…
…11001111000100
3111212120102101000
423313113033010
5401424444333
631430333300
74635001023
oct1367271704
9455512330
10199062468
11a2402640
12567ba230
1332319657
141c61a8ba
1512721713
hexbdd73c4

199062468 has 96 divisors (see below), whose sum is σ = 592704000. Its totient is φ = 57140640.

The previous prime is 199062433. The next prime is 199062509. The reversal of 199062468 is 864260991.

It is a happy number.

199062468 is a `hidden beast` number, since 19 + 9 + 0 + 624 + 6 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18163 + ... + 26981.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2199062468 is an apocalyptic number.

199062468 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 199062468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

199062468 is an abundant number, since it is smaller than the sum of its proper divisors (393641532).

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

199062468 is a wasteful number, since it uses less digits than its factorization.

199062468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 199062468 is about 14108.9499254906. The cubic root of 199062468 is about 583.8883293392. Note that the first 3 decimals are identical.

The spelling of 199062468 in words is "one hundred ninety-nine million, sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 396 418 513 594 627 684 836 1026 1188 1254 1881 2052 2508 3762 5643 7524 8819 11286 17638 22572 26457 35276 52914 79371 97009 105828 158742 167561 194018 238113 291027 317484 335122 388036 476226 502683 582054 670244 873081 952452 1005366 1164108 1508049 1746162 1843171 2010732 2619243 3016098 3492324 3686342 4524147 5238486 5529513 6032196 7372684 9048294 10476972 11059026 16588539 18096588 22118052 33177078 49765617 66354156 99531234 199062468