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200952892 = 22719537127
BaseRepresentation
bin10111111101001…
…00110000111100
3112000010110112201
423332210300330
5402420443032
631535041244
74660033330
oct1376446074
9460113481
10200952892
11a3483978
1257370224
133282bc4a
141c98d7c0
15129968e7
hexbfa4c3c

200952892 has 48 divisors (see below), whose sum is σ = 431101440. Its totient is φ = 80039232.

The previous prime is 200952887. The next prime is 200952893. The reversal of 200952892 is 298259002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200952893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24633 + ... + 31759.

It is an arithmetic number, because the mean of its divisors is an integer number (8981280).

Almost surely, 2200952892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200952892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

200952892 is an abundant number, since it is smaller than the sum of its proper divisors (230148548).

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

200952892 is a wasteful number, since it uses less digits than its factorization.

200952892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 200952892 is about 14175.7854103397. The cubic root of 200952892 is about 585.7308342283.

The spelling of 200952892 in words is "two hundred million, nine hundred fifty-two thousand, eight hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 371 532 742 1007 1484 2014 4028 7049 7127 14098 14254 28196 28508 49889 99778 135413 199556 270826 377731 541652 755462 947891 1510924 1895782 2644117 3791564 5288234 7176889 10576468 14353778 28707556 50238223 100476446 200952892