Search a number
-
+
223233030 = 23351077727
BaseRepresentation
bin11010100111001…
…00010000000110
3120120001102011000
431103210100012
5424121424110
634052354130
75350310106
oct1523442006
9516042130
10223233030
11105011309
1262915946
1337330167
142190d206
15148e81c0
hexd4e4406

223233030 has 64 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 58964832.

The previous prime is 223233029. The next prime is 223233041. The reversal of 223233030 is 30332322.

It is a super-3 number, since 3×2232330303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223232994 and 223233012.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 25027 + ... + 32753.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2223233030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300464640).

223233030 is an abundant number, since it is smaller than the sum of its proper divisors (377696250).

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

223233030 is a wasteful number, since it uses less digits than its factorization.

223233030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 223233030 is about 14940.9849072944. The cubic root of 223233030 is about 606.6238551415.

Adding to 223233030 its reverse (30332322), we get a palindrome (253565352).

The spelling of 223233030 in words is "two hundred twenty-three million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4815 5778 7727 9630 14445 15454 23181 28890 38635 46362 69543 77270 115905 139086 208629 231810 347715 417258 695430 826789 1043145 1653578 2086290 2480367 4133945 4960734 7441101 8267890 12401835 14882202 22323303 24803670 37205505 44646606 74411010 111616515 223233030