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200134242 = 232711213127
BaseRepresentation
bin10111110110111…
…00111001100010
3111221120212120100
423323130321202
5402213243432
631505323230
74650053520
oct1373347142
9457525510
10200134242
11a2a74900
1257036516
1332603439
141c819310
151288407c
hexbedce62

200134242 has 72 divisors (see below), whose sum is σ = 544759488. Its totient is φ = 51978960.

The previous prime is 200134241. The next prime is 200134261. The reversal of 200134242 is 242431002.

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

It is not an unprimeable number, because it can be changed into a prime (200134241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8683 + ... + 21809.

It is an arithmetic number, because the mean of its divisors is an integer number (7566104).

Almost surely, 2200134242 is an apocalyptic number.

200134242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200134242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272379744).

200134242 is an abundant number, since it is smaller than the sum of its proper divisors (344625246).

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

200134242 is a wasteful number, since it uses less digits than its factorization.

200134242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200134242 is about 14146.8809990047. The cubic root of 200134242 is about 584.9343603757.

Adding to 200134242 its reverse (242431002), we get a palindrome (442565244).

The spelling of 200134242 in words is "two hundred million, one hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 13127 15246 26254 39381 78762 91889 118143 144397 183778 236286 275667 288794 433191 551334 827001 866382 1010779 1299573 1588367 1654002 2021558 2599146 3032337 3176734 4765101 6064674 9097011 9530202 11118569 14295303 18194022 22237138 28590606 33355707 66711414 100067121 200134242