Search a number
-
+
200121344 = 2102329293
BaseRepresentation
bin10111110110110…
…01110000000000
3111221120012212122
423323121300000
5402212340334
631505143412
74650001103
oct1373316000
9457505778
10200121344
11a2a66145
125702ab68
13325ca5c7
141c81473a
151288032e
hexbed9c00

200121344 has 88 divisors (see below), whose sum is σ = 433308960. Its totient is φ = 92094464.

The previous prime is 200121329. The next prime is 200121349. The reversal of 200121344 is 443121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200121349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682862 + ... + 683154.

Almost surely, 2200121344 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 200121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216654480).

200121344 is an abundant number, since it is smaller than the sum of its proper divisors (233187616).

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

200121344 is a wasteful number, since it uses less digits than its factorization.

200121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 200121344 is about 14146.4251314599. The cubic root of 200121344 is about 584.9217944010.

Adding to 200121344 its reverse (443121002), we get a palindrome (643242346).

The spelling of 200121344 in words is "two hundred million, one hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 293 368 464 512 586 667 736 928 1024 1172 1334 1472 1856 2344 2668 2944 3712 4688 5336 5888 6739 7424 8497 9376 10672 11776 13478 14848 16994 18752 21344 23552 26956 29696 33988 37504 42688 53912 67976 75008 85376 107824 135952 150016 170752 195431 215648 271904 300032 341504 390862 431296 543808 683008 781724 862592 1087616 1563448 1725184 2175232 3126896 3450368 4350464 6253792 6900736 8700928 12507584 25015168 50030336 100060672 200121344