Search a number
-
+
200216544 = 25311189599
BaseRepresentation
bin10111110111100…
…00111111100000
3111221202001110120
423323300333200
5402223412134
631511200240
74650545463
oct1373607740
9457661416
10200216544
11a3020720
1257076080
1332631a38
141c83b2da
151289d649
hexbef0fe0

200216544 has 48 divisors (see below), whose sum is σ = 573350400. Its totient is φ = 60671360.

The previous prime is 200216537. The next prime is 200216561. The reversal of 200216544 is 445612002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 93744 + ... + 95855.

It is an arithmetic number, because the mean of its divisors is an integer number (11944800).

Almost surely, 2200216544 is an apocalyptic number.

200216544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200216544 is an abundant number, since it is smaller than the sum of its proper divisors (373133856).

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

200216544 is a wasteful number, since it uses less digits than its factorization.

200216544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189623 (or 189615 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 200216544 is about 14149.7895390709. The cubic root of 200216544 is about 585.0145310146.

Adding to 200216544 its reverse (445612002), we get a palindrome (645828546).

It can be divided in two parts, 20021 and 6544, that added together give a triangular number (26565 = T230).

The spelling of 200216544 in words is "two hundred million, two hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 189599 379198 568797 758396 1137594 1516792 2085589 2275188 3033584 4171178 4550376 6067168 6256767 8342356 9100752 12513534 16684712 18201504 25027068 33369424 50054136 66738848 100108272 200216544