Search a number
-
+
200424240 = 2433592789
BaseRepresentation
bin10111111001000…
…11101100110000
3111222010121101000
423330203230300
5402302033430
631515442000
74652402142
oct1374435460
9458117330
10200424240
11a3152775
1257156300
13326a5433
141c892c92
15128dee60
hexbf23b30

200424240 has 80 divisors (see below), whose sum is σ = 690357600. Its totient is φ = 53445888.

The previous prime is 200424233. The next prime is 200424241. The reversal of 200424240 is 42424002.

200424240 is a `hidden beast` number, since 2 + 0 + 0 + 424 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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 (200424241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44235 + ... + 48554.

It is an arithmetic number, because the mean of its divisors is an integer number (8629470).

Almost surely, 2200424240 is an apocalyptic number.

200424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200424240 is an abundant number, since it is smaller than the sum of its proper divisors (489933360).

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

200424240 is a wasteful number, since it uses less digits than its factorization.

200424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92811 (or 92799 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 200424240 is about 14157.1268271496. The cubic root of 200424240 is about 585.2167507131.

Adding to 200424240 its reverse (42424002), we get a palindrome (242848242).

It can be divided in two parts, 2004 and 24240, that added together give a square (26244 = 1622).

The spelling of 200424240 in words is "two hundred million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 92789 185578 278367 371156 463945 556734 742312 835101 927890 1113468 1391835 1484624 1670202 1855780 2226936 2505303 2783670 3340404 3711560 4175505 4453872 5010606 5567340 6680808 7423120 8351010 10021212 11134680 12526515 13361616 16702020 20042424 22269360 25053030 33404040 40084848 50106060 66808080 100212120 200424240