Search a number
-
+
223213101100 = 225211593439339
BaseRepresentation
bin1100111111100010001…
…0011010000000101100
3210100011002211101211121
43033320202122000230
512124120023213400
6250313115230324
722061300024413
oct3177042320054
9710132741747
10223213101100
1186733a81680
12373157483a4
13180835a1862
14ab3700247a
155c1632a21a
hex33f889a02c

223213101100 has 72 divisors (see below), whose sum is σ = 537362481600. Its totient is φ = 79792641600.

The previous prime is 223213101073. The next prime is 223213101101. The reversal of 223213101100 is 1101312322.

It is a super-3 number, since 3×2232131011003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223213101101) 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, 1654770 + ... + 1784569.

It is an arithmetic number, because the mean of its divisors is an integer number (7463367800).

Almost surely, 2223213101100 is an apocalyptic number.

223213101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223213101100 is an abundant number, since it is smaller than the sum of its proper divisors (314149380500).

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

223213101100 is a wasteful number, since it uses less digits than its factorization.

223213101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439423 (or 3439416 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 223213101100 its reverse (1101312322), we get a palindrome (224314413422).

The spelling of 223213101100 in words is "two hundred twenty-three billion, two hundred thirteen million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 64900 3439339 6878678 13757356 17196695 34393390 37832729 68786780 75665458 85983475 151330916 171966950 189163645 202921001 343933900 378327290 405842002 756654580 811684004 945818225 1014605005 1891636450 2029210010 2232131011 3783272900 4058420020 4464262022 5073025025 8928524044 10146050050 11160655055 20292100100 22321310110 44642620220 55803275275 111606550550 223213101100