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200242746 = 233112771217
BaseRepresentation
bin10111110111101…
…11011000111010
3111221210101102000
423323313120322
5402230231441
631511521430
74651015044
oct1373673072
9457711360
10200242746
11a3039380
1257089276
1332640942
141c846a94
15128a62b6
hexbef763a

200242746 has 64 divisors (see below), whose sum is σ = 487589760. Its totient is φ = 60410880.

The previous prime is 200242717. The next prime is 200242747. The reversal of 200242746 is 647242002.

It is a happy number.

It is a super-3 number, since 3×2002427463 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200242747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163930 + ... + 165146.

It is an arithmetic number, because the mean of its divisors is an integer number (7618590).

Almost surely, 2200242746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200242746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243794880).

200242746 is an abundant number, since it is smaller than the sum of its proper divisors (287347014).

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

200242746 is a wasteful number, since it uses less digits than its factorization.

200242746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 200242746 is about 14150.7153882763. The cubic root of 200242746 is about 585.0400498550.

Adding to 200242746 its reverse (647242002), we get a palindrome (847484748).

The spelling of 200242746 in words is "two hundred million, two hundred forty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 277 297 554 594 831 1217 1662 2434 2493 3047 3651 4986 6094 7302 7479 9141 10953 13387 14958 18282 21906 26774 27423 32859 40161 54846 65718 80322 82269 120483 164538 240966 337109 361449 674218 722898 1011327 2022654 3033981 3708199 6067962 7416398 9101943 11124597 18203886 22249194 33373791 66747582 100121373 200242746