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199643904 = 2832731187
BaseRepresentation
bin10111110011001…
…01001100000000
3111220122221221200
423321211030000
5402102101104
631451021200
74642642125
oct1371451400
9456587850
10199643904
11a276a469
1256a3a800
13324911b5
141c72c74c
15127d8b39
hexbe65300

199643904 has 108 divisors (see below), whose sum is σ = 583999416. Its totient is φ = 65581056.

The previous prime is 199643881. The next prime is 199643947. The reversal of 199643904 is 409346991.

It is a super-2 number, since 2×1996439042 = 79715376808722432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199643904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167599 + ... + 168785.

It is an arithmetic number, because the mean of its divisors is an integer number (5407402).

Almost surely, 2199643904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291999708).

199643904 is an abundant number, since it is smaller than the sum of its proper divisors (384355512).

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

199643904 is a wasteful number, since it uses less digits than its factorization.

199643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 199643904 is about 14129.5401199048. The cubic root of 199643904 is about 584.4562644439.

The spelling of 199643904 in words is "one hundred ninety-nine million, six hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 657 768 876 1152 1168 1187 1314 1752 2304 2336 2374 2628 3504 3561 4672 4748 5256 7008 7122 9344 9496 10512 10683 14016 14244 18688 18992 21024 21366 28032 28488 37984 42048 42732 56064 56976 75968 84096 85464 86651 113952 151936 168192 170928 173302 227904 259953 303872 341856 346604 455808 519906 683712 693208 779859 911616 1039812 1367424 1386416 1559718 2079624 2734848 2772832 3119436 4159248 5545664 6238872 8318496 11091328 12477744 16636992 22182656 24955488 33273984 49910976 66547968 99821952 199643904