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199997532 = 223371371931
BaseRepresentation
bin10111110101110…
…11100001011100
3111221022221001000
423322323201130
5402144410112
631502350300
74645644120
oct1372734134
9457287030
10199997532
11a2991119
1256b8b390
1332586147
141c7c1580
15128587dc
hexbebb85c

199997532 has 96 divisors (see below), whose sum is σ = 597219840. Its totient is φ = 56695680.

The previous prime is 199997531. The next prime is 199997573. The reversal of 199997532 is 235799991.

199997532 is a `hidden beast` number, since 19 + 9 + 9 + 97 + 532 = 666.

199997532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199997531) by changing a digit.

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, 102607 + ... + 104537.

It is an arithmetic number, because the mean of its divisors is an integer number (6221040).

Almost surely, 2199997532 is an apocalyptic number.

199997532 is a gapful number since it is divisible by the number (12) 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 199997532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298609920).

199997532 is an abundant number, since it is smaller than the sum of its proper divisors (397222308).

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

199997532 is a wasteful number, since it uses less digits than its factorization.

199997532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2080 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 199997532 is about 14142.0483664850. The cubic root of 199997532 is about 584.8011421408.

The spelling of 199997532 in words is "one hundred ninety-nine million, nine hundred ninety-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 137 189 252 274 378 411 548 756 822 959 1233 1644 1918 1931 2466 2877 3699 3836 3862 4932 5754 5793 7398 7724 8631 11508 11586 13517 14796 17262 17379 23172 25893 27034 34524 34758 40551 51786 52137 54068 69516 81102 103572 104274 121653 162204 208548 243306 264547 364959 486612 529094 729918 793641 1058188 1459836 1587282 1851829 2380923 3174564 3703658 4761846 5555487 7142769 7407316 9523692 11110974 14285538 16666461 22221948 28571076 33332922 49999383 66665844 99998766 199997532