Search a number
-
+
233101333220 = 225710330615281
BaseRepresentation
bin1101100100010111101…
…1000001001011100100
3211021200020021122020212
43121011323001023210
512304342420130340
6255030230314552
722561316432450
oct3310573011344
9737606248225
10233101333220
118a948697838
12392151b8a58
1318c9b088092
14b3d438d660
1560e44aba65
hex3645ec12e4

233101333220 has 96 divisors (see below), whose sum is σ = 565166224896. Its totient is φ = 79103692800.

The previous prime is 233101333219. The next prime is 233101333229. The reversal of 233101333220 is 22333101332.

It is not an unprimeable number, because it can be changed into a prime (233101333229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44136980 + ... + 44142260.

It is an arithmetic number, because the mean of its divisors is an integer number (5887148176).

Almost surely, 2233101333220 is an apocalyptic number.

233101333220 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 233101333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282583112448).

233101333220 is an abundant number, since it is smaller than the sum of its proper divisors (332064891676).

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

233101333220 is a wasteful number, since it uses less digits than its factorization.

233101333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 233101333220 its reverse (22333101332), we get a palindrome (255434434552).

The spelling of 233101333220 in words is "two hundred thirty-three billion, one hundred one million, three hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3061 3605 5281 6122 7210 10562 12244 14420 15305 21124 21427 26405 30610 36967 42854 52810 61220 73934 85708 105620 107135 147868 184835 214270 315283 369670 428540 543943 630566 739340 1087886 1261132 1576415 2175772 2206981 2719715 3152830 3807601 4413962 5439430 6305660 7615202 8827924 10878860 11034905 15230404 16165141 19038005 22069810 32330282 38076010 44139620 64660564 76152020 80825705 113155987 161651410 226311974 323302820 452623948 565779935 1131559870 1665009523 2263119740 3330019046 6660038092 8325047615 11655066661 16650095230 23310133322 33300190460 46620266644 58275333305 116550666610 233101333220