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10221102220 = 22574710914251
BaseRepresentation
bin10011000010011100…
…11010010010001100
3222101022210210100111
421201032122102030
5131413100232340
64410121405404
7511200635560
oct114116322214
928338723314
1010221102220
11437560041a
121b93039864
13c6b7527a4
146cd6796a0
153ec4d4aea
hex26139a48c

10221102220 has 96 divisors (see below), whose sum is σ = 25284188160. Its totient is φ = 3398112000.

The previous prime is 10221102209. The next prime is 10221102223. The reversal of 10221102220 is 2220112201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10221102220.

It is not an unprimeable number, because it can be changed into a prime (10221102223) 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, 710095 + ... + 724345.

It is an arithmetic number, because the mean of its divisors is an integer number (263376960).

Almost surely, 210221102220 is an apocalyptic number.

10221102220 is a gapful number since it is divisible by the number (10) 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 10221102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642094080).

10221102220 is an abundant number, since it is smaller than the sum of its proper divisors (15063085940).

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

10221102220 is a wasteful number, since it uses less digits than its factorization.

10221102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14423 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10221102220 its reverse (2220112201), we get a palindrome (12441214421).

The spelling of 10221102220 in words is "ten billion, two hundred twenty-one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 109 140 188 218 235 329 436 470 545 658 763 940 1090 1316 1526 1645 2180 3052 3290 3815 5123 6580 7630 10246 14251 15260 20492 25615 28502 35861 51230 57004 71255 71722 99757 102460 142510 143444 179305 199514 285020 358610 399028 498785 669797 717220 997570 1339594 1553359 1995140 2679188 3106718 3348985 4688579 6213436 6697970 7766795 9377158 10873513 13395940 15533590 18754316 21747026 23442895 31067180 43494052 46885790 54367565 73007873 93771580 108735130 146015746 217470260 292031492 365039365 511055111 730078730 1022110222 1460157460 2044220444 2555275555 5110551110 10221102220