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200137146 = 23113191319
BaseRepresentation
bin10111110110111…
…01100110111010
3111221121000112220
423323131212322
5402213342041
631505344510
74650065136
oct1373354672
9457530486
10200137146
11a2a77000
1257038136
1332604861
141c81a3c6
1512884d66
hexbedd9ba

200137146 has 64 divisors (see below), whose sum is σ = 463795200. Its totient is φ = 57412080.

The previous prime is 200137129. The next prime is 200137177. The reversal of 200137146 is 641731002.

It is a congruent number.

It is an unprimeable number.

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, 151075 + ... + 152393.

It is an arithmetic number, because the mean of its divisors is an integer number (7246800).

Almost surely, 2200137146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200137146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231897600).

200137146 is an abundant number, since it is smaller than the sum of its proper divisors (263658054).

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

200137146 is a wasteful number, since it uses less digits than its factorization.

200137146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 200137146 is about 14146.9836360971. The cubic root of 200137146 is about 584.9371895454.

Adding to 200137146 its reverse (641731002), we get a palindrome (841868148).

The spelling of 200137146 in words is "two hundred million, one hundred thirty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 1319 1331 2299 2638 2662 3957 3993 4598 6897 7914 7986 13794 14509 25061 25289 29018 43527 50122 50578 75183 75867 87054 150366 151734 159599 275671 319198 478797 551342 827013 957594 1654026 1755589 3032381 3511178 5266767 6064762 9097143 10533534 18194286 33356191 66712382 100068573 200137146