Search a number
-
+
199034496 = 273979
BaseRepresentation
bin10111101110100…
…00011010000000
3111212112000000000
423313100122000
5401423100441
631430000000
74634523333
oct1367203200
9455460000
10199034496
11a2393621
12567a6000
13323099bb
141c61061a
15127182b6
hexbdd0680

199034496 has 160 divisors (see below), whose sum is σ = 602289600. Its totient is φ = 65505024.

The previous prime is 199034491. The next prime is 199034543. The reversal of 199034496 is 694430991.

It is a super-2 number, since 2×1990344962 = 79229461195948032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199034491) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519385 + ... + 2519463.

It is an arithmetic number, because the mean of its divisors is an integer number (3764310).

Almost surely, 2199034496 is an apocalyptic number.

199034496 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 199034496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301144800).

199034496 is an abundant number, since it is smaller than the sum of its proper divisors (403255104).

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

199034496 is an frugal number, since it uses more digits than its factorization.

199034496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 199034496 is about 14107.9586049861. The cubic root of 199034496 is about 583.8609789810.

The spelling of 199034496 in words is "one hundred ninety-nine million, thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 81 96 108 128 144 158 162 192 216 237 243 288 316 324 384 432 474 486 576 632 648 711 729 864 948 972 1152 1264 1296 1422 1458 1728 1896 1944 2133 2187 2528 2592 2844 2916 3456 3792 3888 4266 4374 5056 5184 5688 5832 6399 6561 7584 7776 8532 8748 10112 10368 11376 11664 12798 13122 15168 15552 17064 17496 19197 19683 22752 23328 25596 26244 30336 31104 34128 34992 38394 39366 45504 46656 51192 52488 57591 68256 69984 76788 78732 91008 93312 102384 104976 115182 136512 139968 153576 157464 172773 204768 209952 230364 273024 279936 307152 314928 345546 409536 419904 460728 518319 614304 629856 691092 819072 839808 921456 1036638 1228608 1259712 1382184 1554957 1842912 2073276 2457216 2519424 2764368 3109914 3685824 4146552 5528736 6219828 7371648 8293104 11057472 12439656 16586208 22114944 24879312 33172416 49758624 66344832 99517248 199034496