Search a number
-
+
200220984 = 2334595237
BaseRepresentation
bin10111110111100…
…10000100111000
3111221202021120000
423323302010320
5402224032414
631511233000
74650564435
oct1373620470
9457667500
10200220984
11a3023a97
1257078760
1332633a72
141c83cb8c
151289eb09
hexbef2138

200220984 has 80 divisors (see below), whose sum is σ = 570418200. Its totient is φ = 65596608.

The previous prime is 200220967. The next prime is 200220989. The reversal of 200220984 is 489022002.

200220984 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35614 + ... + 40850.

Almost surely, 2200220984 is an apocalyptic number.

200220984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285209100).

200220984 is an abundant number, since it is smaller than the sum of its proper divisors (370197216).

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

200220984 is a wasteful number, since it uses less digits than its factorization.

200220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 200220984 is about 14149.9464309940. The cubic root of 200220984 is about 585.0188554080.

Adding to 200220984 its reverse (489022002), we get a palindrome (689242986).

The spelling of 200220984 in words is "two hundred million, two hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1416 1593 2124 3186 4248 4779 5237 6372 9558 10474 12744 15711 19116 20948 31422 38232 41896 47133 62844 94266 125688 141399 188532 282798 308983 377064 424197 565596 617966 848394 926949 1131192 1235932 1696788 1853898 2471864 2780847 3393576 3707796 5561694 7415592 8342541 11123388 16685082 22246776 25027623 33370164 50055246 66740328 100110492 200220984