Search a number
-
+
199838028 = 2231331343
BaseRepresentation
bin10111110100101…
…00100101001100
3111221000211020110
423322110211030
5402124304103
631455120020
74644411105
oct1372244514
9457024213
10199838028
11a28922a5
1256b13010
133252b670
141c77d3ac
1512826403
hexbe9494c

199838028 has 96 divisors (see below), whose sum is σ = 530962432. Its totient is φ = 58121280.

The previous prime is 199838017. The next prime is 199838033. The reversal of 199838028 is 820838991.

It is a happy number.

199838028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4647375 + ... + 4647417.

Almost surely, 2199838028 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 199838028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265481216).

199838028 is an abundant number, since it is smaller than the sum of its proper divisors (331124404).

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

199838028 is a wasteful number, since it uses less digits than its factorization.

199838028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 199838028 is about 14136.4078888521. The cubic root of 199838028 is about 584.6456353389.

The spelling of 199838028 in words is "one hundred ninety-nine million, eight hundred thirty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 43 52 62 78 86 93 124 129 156 172 186 258 372 403 516 559 806 961 1118 1209 1333 1612 1677 1922 2236 2418 2666 2883 3354 3844 3999 4836 5332 5766 6708 7998 11532 12493 15996 17329 24986 29791 34658 37479 41323 49972 51987 59582 69316 74958 82646 89373 103974 119164 123969 149916 165292 178746 207948 247938 357492 387283 495876 537199 774566 1074398 1161849 1281013 1549132 1611597 2148796 2323698 2562026 3223194 3843039 4647396 5124052 6446388 7686078 15372156 16653169 33306338 49959507 66612676 99919014 199838028