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199986228 = 2232133311291
BaseRepresentation
bin10111110101110…
…00110000110100
3111221022100112100
423322320300310
5402144024403
631502222100
74645566141
oct1372706064
9457270470
10199986228
11a2983682
1256b84930
1332580c60
141c7bb3c8
15128552a3
hexbeb8c34

199986228 has 72 divisors (see below), whose sum is σ = 546474656. Its totient is φ = 61300800.

The previous prime is 199986217. The next prime is 199986251. The reversal of 199986228 is 822689991.

199986228 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 8 + 622 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154263 + ... + 155553.

Almost surely, 2199986228 is an apocalyptic number.

199986228 is a gapful number since it is divisible by the number (18) 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 199986228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273237328).

199986228 is an abundant number, since it is smaller than the sum of its proper divisors (346488428).

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

199986228 is a wasteful number, since it uses less digits than its factorization.

199986228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1640 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 199986228 is about 14141.6487016189. The cubic root of 199986228 is about 584.7901241437.

The spelling of 199986228 in words is "one hundred ninety-nine million, nine hundred eighty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 331 468 662 993 1291 1324 1986 2582 2979 3873 3972 4303 5164 5958 7746 8606 11619 11916 12909 15492 16783 17212 23238 25818 33566 38727 46476 50349 51636 67132 77454 100698 151047 154908 201396 302094 427321 604188 854642 1281963 1709284 2563926 3845889 5127852 5555173 7691778 11110346 15383556 16665519 22220692 33331038 49996557 66662076 99993114 199986228