Search a number
-
+
224200200 = 23352753381
BaseRepresentation
bin11010101110100…
…00011000001000
3120121212112212010
431113100120020
5424343401300
634125215520
75361445620
oct1527203010
9517775763
10224200200
11105611a24
12631015a0
13375ab453
1421ac1880
1514a39a50
hexd5d0608

224200200 has 96 divisors (see below), whose sum is σ = 794324160. Its totient is φ = 51244800.

The previous prime is 224200169. The next prime is 224200217. The reversal of 224200200 is 2002422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22491 + ... + 30890.

It is an arithmetic number, because the mean of its divisors is an integer number (8274210).

Almost surely, 2224200200 is an apocalyptic number.

224200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224200200 is an abundant number, since it is smaller than the sum of its proper divisors (570123960).

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

224200200 is a wasteful number, since it uses less digits than its factorization.

224200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53407 (or 53398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 224200200 is about 14973.3162659446. The cubic root of 224200200 is about 607.4986705927.

Adding to 224200200 its reverse (2002422), we get a palindrome (226202622).

The spelling of 224200200 in words is "two hundred twenty-four million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 53381 106762 160143 213524 266905 320286 373667 427048 533810 640572 747334 800715 1067620 1121001 1281144 1334525 1494668 1601430 1868335 2135240 2242002 2669050 2989336 3202860 3736670 4003575 4484004 5338100 5605005 6405720 7473340 8007150 8968008 9341675 10676200 11210010 14946680 16014300 18683350 22420020 28025025 32028600 37366700 44840040 56050050 74733400 112100100 224200200