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200861856 = 2535131987
BaseRepresentation
bin10111111100011…
…10100010100000
3111222221211200000
423332032202200
5402410034411
631533100000
74656204036
oct1376164240
9458854600
10200861856
11a3421538
1257327600
13327c9690
141c968556
1512979956
hexbf8e8a0

200861856 has 144 divisors (see below), whose sum is σ = 638243424. Its totient is φ = 61772544.

The previous prime is 200861839. The next prime is 200861897. The reversal of 200861856 is 658168002.

It is a happy number.

200861856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200861856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100095 + ... + 102081.

It is an arithmetic number, because the mean of its divisors is an integer number (4432246).

Almost surely, 2200861856 is an apocalyptic number.

200861856 is a gapful number since it is divisible by the number (26) 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 200861856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319121712).

200861856 is an abundant number, since it is smaller than the sum of its proper divisors (437381568).

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

200861856 is a wasteful number, since it uses less digits than its factorization.

200861856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 200861856 is about 14172.5740781271. The cubic root of 200861856 is about 585.6423712959.

The spelling of 200861856 in words is "two hundred million, eight hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 1987 2106 2592 2808 3159 3744 3888 3974 4212 5616 5961 6318 7776 7948 8424 11232 11922 12636 15896 16848 17883 23844 25272 25831 31792 33696 35766 47688 50544 51662 53649 63584 71532 77493 95376 101088 103324 107298 143064 154986 160947 190752 206648 214596 232479 286128 309972 321894 413296 429192 464958 482841 572256 619944 643788 697437 826592 858384 929916 965682 1239888 1287576 1394874 1716768 1859832 1931364 2092311 2479776 2575152 2789748 3719664 3862728 4184622 5150304 5579496 6276933 7439328 7725456 8369244 11158992 12553866 15450912 16738488 22317984 25107732 33476976 50215464 66953952 100430928 200861856