Search a number
-
+
199628600 = 23526116363
BaseRepresentation
bin10111110011000…
…01011100111000
3111220122011221212
423321201130320
5402101103400
631450422252
74642546403
oct1371413470
9456564855
10199628600
11a2759a16
1256a31988
1332487242
141c726d3a
15127d4335
hexbe61738

199628600 has 48 divisors (see below), whose sum is σ = 471774120. Its totient is φ = 78537600.

The previous prime is 199628593. The next prime is 199628609. The reversal of 199628600 is 6826991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199628609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4019 + ... + 20381.

Almost surely, 2199628600 is an apocalyptic number.

199628600 is a gapful number since it is divisible by the number (10) 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 199628600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235887060).

199628600 is an abundant number, since it is smaller than the sum of its proper divisors (272145520).

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

199628600 is a wasteful number, since it uses less digits than its factorization.

199628600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 199628600 is about 14128.9985490834. The cubic root of 199628600 is about 584.4413299412.

Adding to 199628600 its sum of digits (41), we get a square (199628641 = 141292).

The spelling of 199628600 in words is "one hundred ninety-nine million, six hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 16363 32726 65452 81815 130904 163630 327260 409075 654520 818150 998143 1636300 1996286 3272600 3992572 4990715 7985144 9981430 19962860 24953575 39925720 49907150 99814300 199628600