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200102292 = 223313359397
BaseRepresentation
bin10111110110101…
…01000110010100
3111221112020202000
423323111012110
5402211233132
631504515300
74646561415
oct1373250624
9457466660
10200102292
11a2a528a5
125701bb30
13325c1a30
141c80b80c
151287987c
hexbed5194

200102292 has 96 divisors (see below), whose sum is σ = 561657600. Its totient is φ = 61243776.

The previous prime is 200102251. The next prime is 200102297. The reversal of 200102292 is 292201002.

200102292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503838 + ... + 504234.

It is an arithmetic number, because the mean of its divisors is an integer number (5850600).

Almost surely, 2200102292 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 200102292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280828800).

200102292 is an abundant number, since it is smaller than the sum of its proper divisors (361555308).

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

200102292 is a wasteful number, since it uses less digits than its factorization.

200102292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200102292 is about 14145.7517297597. The cubic root of 200102292 is about 584.9032318572.

Adding to 200102292 its reverse (292201002), we get a palindrome (492303294).

The spelling of 200102292 in words is "two hundred million, one hundred two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 359 397 468 702 718 794 1077 1191 1404 1436 1588 2154 2382 3231 3573 4308 4667 4764 5161 6462 7146 9334 9693 10322 10719 12924 14001 14292 15483 18668 19386 20644 21438 28002 30966 38772 42003 42876 46449 56004 61932 84006 92898 126009 139347 142523 168012 185796 252018 278694 285046 427569 504036 557388 570092 855138 1282707 1710276 1852799 2565414 3705598 3848121 5130828 5558397 7411196 7696242 11116794 15392484 16675191 22233588 33350382 50025573 66700764 100051146 200102292