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200130252 = 223718113163
BaseRepresentation
bin10111110110110…
…11111011001100
3111221120200002120
423323123323030
5402213132002
631505252540
74650036060
oct1373337314
9457520076
10200130252
11a2a71903
1257034150
133260168a
141c817aa0
1512882cbc
hexbedbecc

200130252 has 48 divisors (see below), whose sum is σ = 536669952. Its totient is φ = 56859840.

The previous prime is 200130251. The next prime is 200130253. The reversal of 200130252 is 252031002.

200130252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200130251) and next prime (200130253).

It is not an unprimeable number, because it can be changed into a prime (200130251) 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 15 ways as a sum of consecutive naturals, for example, 8623 + ... + 21785.

It is an arithmetic number, because the mean of its divisors is an integer number (11180624).

Almost surely, 2200130252 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 200130252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268334976).

200130252 is an abundant number, since it is smaller than the sum of its proper divisors (336539700).

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

200130252 is a wasteful number, since it uses less digits than its factorization.

200130252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13358 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 200130252 is about 14146.7399778182. The cubic root of 200130252 is about 584.9304731455.

Adding to 200130252 its reverse (252031002), we get a palindrome (452161254).

The spelling of 200130252 in words is "two hundred million, one hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 7602 13163 15204 26326 39489 52652 78978 92141 157956 184282 276423 368564 552846 1105692 2382503 4765006 7147509 9530012 14295018 16677521 28590036 33355042 50032563 66710084 100065126 200130252