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199498464 = 2534116997
BaseRepresentation
bin10111110010000…
…01101011100000
3111220101120110000
423321001223200
5402032422324
631443540000
74641465114
oct1371015340
9456346400
10199498464
11a2680170
125698a600
133243cc39
141c6d1744
15127aa9c9
hexbe41ae0

199498464 has 120 divisors (see below), whose sum is σ = 640149048. Its totient is φ = 60445440.

The previous prime is 199498391. The next prime is 199498483. The reversal of 199498464 is 464894991.

It is a happy number.

199498464 is a `hidden beast` number, since 1 + 9 + 94 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 199498464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25014 + ... + 32010.

Almost surely, 2199498464 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 199498464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320074524).

199498464 is an abundant number, since it is smaller than the sum of its proper divisors (440650584).

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

199498464 is a wasteful number, since it uses less digits than its factorization.

199498464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7013 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 199498464 is about 14124.3925179103. The cubic root of 199498464 is about 584.3143050730.

The spelling of 199498464 in words is "one hundred ninety-nine million, four hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 6997 7128 9504 13994 14256 20991 27988 28512 41982 55976 62973 76967 83964 111952 125946 153934 167928 188919 223904 230901 251892 307868 335856 377838 461802 503784 566757 615736 671712 692703 755676 923604 1007568 1133514 1231472 1385406 1511352 1847208 2015136 2078109 2267028 2462944 2770812 3022704 3694416 4156218 4534056 5541624 6045408 6234327 7388832 8312436 9068112 11083248 12468654 16624872 18136224 22166496 24937308 33249744 49874616 66499488 99749232 199498464