Search a number
-
+
223320311220 = 223589113370091
BaseRepresentation
bin1100111111111011101…
…1011000010110110100
3210100102120120020110210
43033332323120112310
512124324444424340
6250331505145420
722064041216356
oct3177673302664
9710376506423
10223320311220
1186789548186
123734562b270
131809c86b0b6
14ab4734d0d6
155c20956180
hex33feed85b4

223320311220 has 96 divisors (see below), whose sum is σ = 637920178560. Its totient is φ = 58361712640.

The previous prime is 223320311213. The next prime is 223320311243. The reversal of 223320311220 is 22113023322.

It is a happy number.

It is a super-2 number, since 2×2233203112202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418375 + ... + 788465.

It is an arithmetic number, because the mean of its divisors is an integer number (6645001860).

Almost surely, 2223320311220 is an apocalyptic number.

223320311220 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 223320311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318960089280).

223320311220 is an abundant number, since it is smaller than the sum of its proper divisors (414599867340).

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

223320311220 is a wasteful number, since it uses less digits than its factorization.

223320311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370305 (or 370303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223320311220 its reverse (22113023322), we get a palindrome (245433334542).

The spelling of 223320311220 in words is "two hundred twenty-three billion, three hundred twenty million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 113 178 226 267 339 356 445 452 534 565 678 890 1068 1130 1335 1356 1695 1780 2260 2670 3390 5340 6780 10057 20114 30171 40228 50285 60342 100570 120684 150855 201140 301710 370091 603420 740182 1110273 1480364 1850455 2220546 3700910 4441092 5551365 7401820 11102730 22205460 32938099 41820283 65876198 83640566 98814297 125460849 131752396 164690495 167281132 197628594 209101415 250921698 329380990 395257188 418202830 494071485 501843396 627304245 658761980 836405660 988142970 1254608490 1976285940 2509216980 3722005187 7444010374 11166015561 14888020748 18610025935 22332031122 37220051870 44664062244 55830077805 74440103740 111660155610 223320311220