Search a number
-
+
223222313320 = 23589379165443
BaseRepresentation
bin1100111111100100010…
…1100011000101101000
3210100011202011102121221
43033321011203011220
512124124403011240
6250314044511424
722061441233246
oct3177105430550
9710152142557
10223222313320
11867391a3986
123731884b574
1318085478986
14ab3831d796
155c17049a4a
hex33f9163168

223222313320 has 64 divisors (see below), whose sum is σ = 509236632000. Its totient is φ = 88052203008.

The previous prime is 223222313317. The next prime is 223222313329. The reversal of 223222313320 is 23313222322.

223222313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232223133203 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223222313329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266519 + ... + 1431961.

It is an arithmetic number, because the mean of its divisors is an integer number (7956822375).

Almost surely, 2223222313320 is an apocalyptic number.

223222313320 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 223222313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254618316000).

223222313320 is an abundant number, since it is smaller than the sum of its proper divisors (286014318680).

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

223222313320 is a wasteful number, since it uses less digits than its factorization.

223222313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165922 (or 165918 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 223222313320 its reverse (23313222322), we get a palindrome (246535535642).

The spelling of 223222313320 in words is "two hundred twenty-three billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 379 445 712 758 890 1516 1780 1895 3032 3560 3790 7580 15160 33731 67462 134924 165443 168655 269848 330886 337310 661772 674620 827215 1323544 1349240 1654430 3308860 6617720 14724427 29448854 58897708 62702897 73622135 117795416 125405794 147244270 250811588 294488540 313514485 501623176 588977080 627028970 1254057940 2508115880 5580557833 11161115666 22322231332 27902789165 44644462664 55805578330 111611156660 223222313320