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199979712 = 2633196091
BaseRepresentation
bin10111110101101…
…11001011000000
3111221022000121000
423322313023000
5402143322322
631502132000
74645541142
oct1372671300
9457260530
10199979712
11a2979799
1256b81000
133257acba
141c7b8c92
15128533ac
hexbeb72c0

199979712 has 112 divisors (see below), whose sum is σ = 618947200. Its totient is φ = 63141120.

The previous prime is 199979701. The next prime is 199979743. The reversal of 199979712 is 217979991.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29787 + ... + 35877.

Almost surely, 2199979712 is an apocalyptic number.

199979712 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 199979712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309473600).

199979712 is an abundant number, since it is smaller than the sum of its proper divisors (418967488).

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

199979712 is a wasteful number, since it uses less digits than its factorization.

199979712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6115 counting only the distinct ones).

The product of its digits is 642978, while the sum is 54.

The square root of 199979712 is about 14141.4183164207. The cubic root of 199979712 is about 584.7837728166.

The spelling of 199979712 in words is "one hundred ninety-nine million, nine hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 6091 8208 10944 12182 16416 18273 24364 32832 36546 48728 54819 73092 97456 109638 115729 146184 164457 194912 219276 231458 292368 328914 347187 389824 438552 462916 584736 657828 694374 877104 925832 1041561 1169472 1315656 1388748 1754208 1851664 2083122 2631312 2777496 3124683 3508416 3703328 4166244 5262624 5554992 6249366 7406656 8332488 10525248 11109984 12498732 16664976 22219968 24997464 33329952 49994928 66659904 99989856 199979712