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200223296 = 26713311109
BaseRepresentation
bin10111110111100…
…10101001000000
3111221202101201122
423323302221000
5402224121141
631511251412
74650604250
oct1373625100
9457671648
10200223296
11a30257a9
1257079b68
1332634b30
141c83d960
15128a064b
hexbef2a40

200223296 has 112 divisors (see below), whose sum is σ = 505236480. Its totient is φ = 76584960.

The previous prime is 200223281. The next prime is 200223313. The reversal of 200223296 is 692322002.

200223296 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 (112).

It is a super-2 number, since 2×2002232962 = 80178736522207232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 179990 + ... + 181098.

It is an arithmetic number, because the mean of its divisors is an integer number (4511040).

Almost surely, 2200223296 is an apocalyptic number.

200223296 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 200223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618240).

200223296 is an abundant number, since it is smaller than the sum of its proper divisors (305013184).

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

200223296 is a wasteful number, since it uses less digits than its factorization.

200223296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 200223296 is about 14150.0281271805. The cubic root of 200223296 is about 585.0211071840.

Adding to 200223296 its reverse (692322002), we get a palindrome (892545298).

The spelling of 200223296 in words is "two hundred million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1109 1456 1612 1736 1984 2218 2821 2912 3224 3472 4436 5642 5824 6448 6944 7763 8872 11284 12896 13888 14417 15526 17744 22568 25792 28834 31052 34379 35488 45136 57668 62104 68758 70976 90272 100919 115336 124208 137516 180544 201838 230672 240653 248416 275032 403676 446927 461344 481306 496832 550064 807352 893854 922688 962612 1100128 1614704 1787708 1925224 2200256 3128489 3229408 3575416 3850448 6256978 6458816 7150832 7700896 12513956 14301664 15401792 25027912 28603328 50055824 100111648 200223296