Search a number
-
+
223214200 = 235211241421
BaseRepresentation
bin11010100110111…
…11101001111000
3120120000110022121
431103133221320
5424120323300
634052131024
75350201156
oct1523375170
9516013277
10223214200
11104aa9150
1262906a74
1337324711
14219063d6
15148e281a
hexd4dfa78

223214200 has 96 divisors (see below), whose sum is σ = 569851920. Its totient is φ = 80640000.

The previous prime is 223214197. The next prime is 223214203. The reversal of 223214200 is 2412322.

It is an interprime number because it is at equal distance from previous prime (223214197) and next prime (223214203).

It is a super-3 number, since 3×2232142003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223214203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 529990 + ... + 530410.

Almost surely, 2223214200 is an apocalyptic number.

223214200 is a gapful number since it is divisible by the number (20) 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 223214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284925960).

223214200 is an abundant number, since it is smaller than the sum of its proper divisors (346637720).

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

223214200 is a wasteful number, since it uses less digits than its factorization.

223214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 223214200 is about 14940.3547481310. The cubic root of 223214200 is about 606.6067981550.

Adding to 223214200 its reverse (2412322), we get a palindrome (225626522).

The spelling of 223214200 in words is "two hundred twenty-three million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 241 275 421 440 482 550 842 964 1100 1205 1684 1928 2105 2200 2410 2651 3368 4210 4631 4820 5302 6025 8420 9262 9640 10525 10604 12050 13255 16840 18524 21050 21208 23155 24100 26510 37048 42100 46310 48200 53020 66275 84200 92620 101461 106040 115775 132550 185240 202922 231550 265100 405844 463100 507305 530200 811688 926200 1014610 1116071 2029220 2232142 2536525 4058440 4464284 5073050 5580355 8928568 10146100 11160710 20292200 22321420 27901775 44642840 55803550 111607100 223214200