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199963410 = 235192912097
BaseRepresentation
bin10111110101100…
…11001100010010
3111221021012020020
423322303030102
5402142312120
631501524310
74645442463
oct1372631422
9457235206
10199963410
11a2968519
1256b73696
133257375a
141c7b2d6a
151284d640
hexbeb3312

199963410 has 64 divisors (see below), whose sum is σ = 522633600. Its totient is φ = 48771072.

The previous prime is 199963409. The next prime is 199963451. The reversal of 199963410 is 14369991.

199963410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10482 + ... + 22578.

It is an arithmetic number, because the mean of its divisors is an integer number (8166150).

Almost surely, 2199963410 is an apocalyptic number.

199963410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199963410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261316800).

199963410 is an abundant number, since it is smaller than the sum of its proper divisors (322670190).

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

199963410 is a wasteful number, since it uses less digits than its factorization.

199963410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155.

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 199963410 is about 14140.8419127010. The cubic root of 199963410 is about 584.7678821978.

The spelling of 199963410 in words is "one hundred ninety-nine million, nine hundred sixty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 8265 12097 16530 24194 36291 60485 72582 120970 181455 229843 350813 362910 459686 689529 701626 1052439 1149215 1379058 1754065 2104878 2298430 3447645 3508130 5262195 6665447 6895290 10524390 13330894 19996341 33327235 39992682 66654470 99981705 199963410