Search a number
-
+
223032031332 = 2231113957721067
BaseRepresentation
bin1100111110110110111…
…1101011100001100100
3210022200111010002210220
43033231233223201210
512123232200000312
6250243130244340
722053640662255
oct3175557534144
9708614102726
10223032031332
1186650849240
1237284b866b0
1318054c14a96
14ab1ad4ab2c
155c054aec8c
hex33edbeb864

223032031332 has 96 divisors (see below), whose sum is σ = 572820380160. Its totient is φ = 66979768320.

The previous prime is 223032031307. The next prime is 223032031337. The reversal of 223032031332 is 233130230322.

It is not an unprimeable number, because it can be changed into a prime (223032031337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10576263 + ... + 10597329.

It is an arithmetic number, because the mean of its divisors is an integer number (5966878960).

Almost surely, 2223032031332 is an apocalyptic number.

223032031332 is a gapful number since it is divisible by the number (22) 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 223032031332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286410190080).

223032031332 is an abundant number, since it is smaller than the sum of its proper divisors (349788348828).

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

223032031332 is a wasteful number, since it uses less digits than its factorization.

223032031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21801 (or 21799 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 223032031332 its reverse (233130230322), we get a palindrome (456162261654).

The spelling of 223032031332 in words is "two hundred twenty-three billion, thirty-two million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 577 834 1154 1529 1668 1731 2308 3058 3462 4587 6116 6347 6924 9174 12694 18348 19041 21067 25388 38082 42134 63201 76164 80203 84268 126402 160406 231737 240609 252804 320812 463474 481218 695211 882233 926948 962436 1390422 1764466 2646699 2780844 2928313 3528932 5293398 5856626 8784939 10586796 11713252 12155659 17569878 24311318 32211443 35139756 36466977 48622636 64422886 72933954 96634329 128845772 133712249 145867908 193268658 267424498 386537316 401136747 534848996 802273494 1604546988 1689636601 3379273202 5068909803 6758546404 10137819606 18586002611 20275639212 37172005222 55758007833 74344010444 111516015666 223032031332