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22201110021220 = 225131391429429887
BaseRepresentation
bin1010000110001000110010…
…10001101100010001100100
32220121101221112021221222021
411003010121101230101210
510402220333131134340
6115115014340512524
74450656126345304
oct503043121542144
986541845257867
1022201110021220
11708a48a909429
1225a68829ab744
13c5072bb16360
1456a77a3b9604
1528777d99ce4a
hex14311946c464

22201110021220 has 96 divisors (see below), whose sum is σ = 50605383628800. Its totient is φ = 8132645251584.

The previous prime is 22201110021157. The next prime is 22201110021227. The reversal of 22201110021220 is 2212001110222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22201110021194 and 22201110021203.

It is not an unprimeable number, because it can be changed into a prime (22201110021227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51429117 + ... + 51859003.

It is an arithmetic number, because the mean of its divisors is an integer number (527139412800).

Almost surely, 222201110021220 is an apocalyptic number.

22201110021220 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 22201110021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25302691814400).

22201110021220 is an abundant number, since it is smaller than the sum of its proper divisors (28404273607580).

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

22201110021220 is a wasteful number, since it uses less digits than its factorization.

22201110021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431477 (or 431475 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22201110021220 its reverse (2212001110222), we get a palindrome (24413111131442).

The spelling of 22201110021220 in words is "twenty-two trillion, two hundred one billion, one hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1429 1807 2780 2858 3614 5716 7145 7228 9035 14290 18070 18577 28580 36140 37154 74308 92885 185770 198631 371540 397262 429887 794524 859774 993155 1719548 1986310 2149435 2582203 3972620 4298870 5164406 5588531 8597740 10328812 11177062 12911015 22354124 25822030 27942655 51644060 55885310 59754293 111770620 119508586 239017172 298771465 597542930 614308523 776805809 1195085860 1228617046 1553611618 2457234092 3071542615 3107223236 3884029045 6143085230 7768058090 7986010799 12286170460 15536116180 15972021598 31944043196 39930053995 79860107990 85388884697 159720215980 170777769394 341555538788 426944423485 853888846970 1110055501061 1707777693940 2220111002122 4440222004244 5550277505305 11100555010610 22201110021220