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199678770 = 2345172853
BaseRepresentation
bin10111110011011…
…01101100110010
3111220201201210000
423321231230302
5402104210040
631451450430
74643145564
oct1371555462
9456651700
10199678770
11a2793685
1256a56a16
13324a4025
141c73b334
15127e4130
hexbe6db32

199678770 has 120 divisors (see below), whose sum is σ = 571023684. Its totient is φ = 50056704.

The previous prime is 199678769. The next prime is 199678793. The reversal of 199678770 is 77876991.

It can be written as a sum of positive squares in 6 ways, for example, as 90497169 + 109181601 = 9513^2 + 10449^2 .

It is a super-2 number, since 2×1996787702 = 79743222377425800, which contains 22 as substring.

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 233664 + ... + 234516.

Almost surely, 2199678770 is an apocalyptic number.

199678770 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 199678770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285511842).

199678770 is an abundant number, since it is smaller than the sum of its proper divisors (371344914).

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

199678770 is a wasteful number, since it uses less digits than its factorization.

199678770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 199678770 is about 14130.7738641590. The cubic root of 199678770 is about 584.4902857948.

The spelling of 199678770 in words is "one hundred ninety-nine million, six hundred seventy-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 289 306 405 459 510 578 765 810 853 867 918 1377 1445 1530 1706 1734 2295 2559 2601 2754 2890 4265 4335 4590 5118 5202 6885 7677 7803 8530 8670 12795 13005 13770 14501 15354 15606 23031 23409 25590 26010 29002 38385 39015 43503 46062 46818 69093 72505 76770 78030 87006 115155 117045 130509 138186 145010 217515 230310 234090 246517 261018 345465 391527 435030 493034 652545 690930 739551 783054 1174581 1232585 1305090 1479102 1957635 2218653 2349162 2465170 3697755 3915270 4437306 5872905 6655959 7395510 11093265 11745810 13311918 19967877 22186530 33279795 39935754 66559590 99839385 199678770