Search a number
-
+
200691456196 = 227211229092
BaseRepresentation
bin1011101011101000100…
…1001001100011000100
3201012000112101022002011
42322322021021203010
511242004003044241
6232110230224004
720333215142200
oct2727211114304
9635015338064
10200691456196
1178127105500
1232a8b1b5004
1315c0465975a
1499dbc73b00
15534900a281
hex2eba2498c4

200691456196 has 81 divisors (see below), whose sum is σ = 449222290797. Its totient is φ = 78164597280.

The previous prime is 200691456167. The next prime is 200691456211. The reversal of 200691456196 is 691654196002.

The square root of 200691456196 is 447986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 174044158596 + 26647297600 = 417186^2 + 163240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68988390 + ... + 68991298.

Almost surely, 2200691456196 is an apocalyptic number.

200691456196 is the 447986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200691456196

200691456196 is an abundant number, since it is smaller than the sum of its proper divisors (248530834601).

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

200691456196 is an equidigital number, since it uses as much as digits as its factorization.

200691456196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 200691456196 by its sum of digits (49), we get a square (9833881353604 = 31359022).

200691456196 divided by its sum of digits (49) gives a square (4095744004 = 639982).

The spelling of 200691456196 in words is "two hundred billion, six hundred ninety-one million, four hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 2909 3388 5818 5929 11636 11858 20363 23716 31999 40726 63998 81452 127996 142541 223993 285082 351989 447986 570164 703978 895972 1407956 1567951 2463923 3135902 4927846 6271804 8462281 9855692 16924562 17247461 33849124 34494922 59235967 68989844 93085091 118471934 186170182 236943868 372340364 414651769 651595637 829303538 1023936001 1303191274 1658607076 2047872002 2606382548 4095744004 4561169459 7167552007 9122338918 14335104014 18244677836 28670208028 50172864049 100345728098 200691456196