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199514736 = 24328316693
BaseRepresentation
bin10111110010001…
…01101001110000
3111220102101202200
423321011221300
5402033432421
631444143200
74641563421
oct1371055160
9456371680
10199514736
11a2691413
1256997b00
1332447475
141c6d7648
15127b0726
hexbe45a70

199514736 has 60 divisors (see below), whose sum is σ = 565125288. Its totient is φ = 65699712.

The previous prime is 199514723. The next prime is 199514747. The reversal of 199514736 is 637415991.

199514736 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1995147362 = 79612259762299392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199514691 and 199514700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3606 + ... + 20298.

Almost surely, 2199514736 is an apocalyptic number.

199514736 is a gapful number since it is divisible by the number (16) 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 199514736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282562644).

199514736 is an abundant number, since it is smaller than the sum of its proper divisors (365610552).

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

199514736 is a wasteful number, since it uses less digits than its factorization.

199514736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16790 (or 16781 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 199514736 is about 14124.9685309384. The cubic root of 199514736 is about 584.3301910832.

The spelling of 199514736 in words is "one hundred ninety-nine million, five hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 11952 16693 33386 50079 66772 100158 133544 150237 200316 267088 300474 400632 600948 801264 1201896 1385519 2403792 2771038 4156557 5542076 8313114 11084152 12469671 16626228 22168304 24939342 33252456 49878684 66504912 99757368 199514736