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199917816 = 23376717761
BaseRepresentation
bin10111110101010…
…00000011111000
3111221011212200120
423322220003320
5402134332231
631500533240
74645162530
oct1372500370
9457155616
10199917816
11a293723a
1256b51220
1332558a87
141c7a04c0
151283ed96
hexbea80f8

199917816 has 64 divisors (see below), whose sum is σ = 579751680. Its totient is φ = 56263680.

The previous prime is 199917803. The next prime is 199917847. The reversal of 199917816 is 618719991.

199917816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2376 + ... + 20136.

It is an arithmetic number, because the mean of its divisors is an integer number (9058620).

Almost surely, 2199917816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199917816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289875840).

199917816 is an abundant number, since it is smaller than the sum of its proper divisors (379833864).

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

199917816 is a wasteful number, since it uses less digits than its factorization.

199917816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17844 (or 17840 counting only the distinct ones).

The product of its digits is 244944, while the sum is 51.

The square root of 199917816 is about 14139.2296819876. The cubic root of 199917816 is about 584.7234341769.

The spelling of 199917816 in words is "one hundred ninety-nine million, nine hundred seventeen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 17761 35522 53283 71044 106566 124327 142088 213132 248654 372981 426264 497308 745962 994616 1189987 1491924 2379974 2983848 3569961 4759948 7139922 8329909 9519896 14279844 16659818 24989727 28559688 33319636 49979454 66639272 99958908 199917816