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199078656 = 2837191949
BaseRepresentation
bin10111101110110…
…11001100000000
3111212121020120120
423313123030000
5401431004111
631430540240
74635066150
oct1367331400
9455536516
10199078656
11a2413817
1256807680
1332323b2a
141c622760
1512726406
hexbddb300

199078656 has 144 divisors (see below), whose sum is σ = 637728000. Its totient is φ = 53858304.

The previous prime is 199078643. The next prime is 199078667. The reversal of 199078656 is 656870991.

199078656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990786562 = 79264622549532672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199078599 and 199078608.

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, 101170 + ... + 103118.

Almost surely, 2199078656 is an apocalyptic number.

199078656 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 199078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864000).

199078656 is an abundant number, since it is smaller than the sum of its proper divisors (438649344).

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

199078656 is a wasteful number, since it uses less digits than its factorization.

199078656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 199078656 is about 14109.5235922408. The cubic root of 199078656 is about 583.9041564113.

The spelling of 199078656 in words is "one hundred ninety-nine million, seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 1949 2128 2432 2688 3192 3648 3898 4256 4864 5376 5847 6384 7296 7796 8512 11694 12768 13643 14592 15592 17024 23388 25536 27286 31184 34048 37031 40929 46776 51072 54572 62368 74062 81858 93552 102144 109144 111093 124736 148124 163716 187104 218288 222186 249472 259217 296248 327432 374208 436576 444372 498944 518434 592496 654864 748416 777651 873152 888744 1036868 1184992 1309728 1496832 1555302 1746304 1777488 2073736 2369984 2619456 3110604 3492608 3554976 4147472 4739968 5238912 6221208 7109952 8294944 9479936 10477824 12442416 14219904 16589888 24884832 28439808 33179776 49769664 66359552 99539328 199078656