Search a number
-
+
22201021220 = 22572414671409
BaseRepresentation
bin10100101011010010…
…001011001100100100
32010022020010201202012
4110223102023030210
5330431430134340
614110552533352
71414106365250
oct245322131444
963266121665
1022201021220
119462996924
1243770b1258
13212a6a6061
14110874b260
1589e0da565
hex52b48b324

22201021220 has 96 divisors (see below), whose sum is σ = 53656162560. Its totient is φ = 7558594560.

The previous prime is 22201021177. The next prime is 22201021231. The reversal of 22201021220 is 2212010222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22201021195 and 22201021204.

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, 15755876 + ... + 15757284.

It is an arithmetic number, because the mean of its divisors is an integer number (558918360).

Almost surely, 222201021220 is an apocalyptic number.

22201021220 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 22201021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828081280).

22201021220 is an abundant number, since it is smaller than the sum of its proper divisors (31455141340).

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

22201021220 is a wasteful number, since it uses less digits than its factorization.

22201021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22201021220 its reverse (2212010222), we get a palindrome (24413031442).

The spelling of 22201021220 in words is "twenty-two billion, two hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 241 467 482 934 964 1205 1409 1687 1868 2335 2410 2818 3269 3374 4670 4820 5636 6538 6748 7045 8435 9340 9863 13076 14090 16345 16870 19726 28180 32690 33740 39452 49315 65380 98630 112547 197260 225094 339569 450188 562735 658003 679138 787829 1125470 1316006 1358276 1575658 1697845 2250940 2376983 2632012 3151316 3290015 3395690 3939145 4606021 4753966 6580030 6791380 7878290 9212042 9507932 11884915 13160060 15756580 18424084 23030105 23769830 46060210 47539660 92120420 158578723 317157446 634314892 792893615 1110051061 1585787230 2220102122 3171574460 4440204244 5550255305 11100510610 22201021220