Search a number
-
+
2221202221020 = 2232537373894139
BaseRepresentation
bin100000010100101001111…
…110000010011111011100
321212100022101211221220200
4200110221332002133130
5242343010232033040
64420223424143500
7316322314234356
oct40245176023734
97770271757820
102221202221020
117870088244a2
122ba598167b90
131315c634c553
14797147a40d6
153cba29e6630
hex20529f827dc

2221202221020 has 144 divisors (see below), whose sum is σ = 6938304653280. Its totient is φ = 574766212608.

The previous prime is 2221202221013. The next prime is 2221202221037. The reversal of 2221202221020 is 201222021222.

2221202221020 is a `hidden beast` number, since 2 + 221 + 202 + 221 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221202220984 and 2221202221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2037111 + ... + 2931249.

Almost surely, 22221202221020 is an apocalyptic number.

2221202221020 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 2221202221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469152326640).

2221202221020 is an abundant number, since it is smaller than the sum of its proper divisors (4717102432260).

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

2221202221020 is a wasteful number, since it uses less digits than its factorization.

2221202221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894564 (or 894559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221202221020 its reverse (201222021222), we get a palindrome (2422424242242).

The spelling of 2221202221020 in words is "two trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 373 444 555 666 740 746 1110 1119 1332 1492 1665 1865 2220 2238 3330 3357 3730 4476 5595 6660 6714 7460 11190 13428 13801 16785 22380 27602 33570 41403 55204 67140 69005 82806 124209 138010 165612 207015 248418 276020 414030 496836 621045 828060 894139 1242090 1788278 2484180 2682417 3576556 4470695 5364834 8047251 8941390 10729668 13412085 16094502 17882780 26824170 32189004 33083143 40236255 53648340 66166286 80472510 99249429 132332572 160945020 165415715 198498858 297748287 330831430 333513847 396997716 496247145 595496574 661662860 667027694 992494290 1000541541 1190993148 1334055388 1488741435 1667569235 1984988580 2001083082 2977482870 3001624623 3335138470 4002166164 5002707705 5954965740 6003249246 6670276940 10005415410 12006498492 12340012339 15008123115 20010830820 24680024678 30016246230 37020037017 49360049356 60032492460 61700061695 74040074034 111060111051 123400123390 148080148068 185100185085 222120222102 246800246780 370200370170 444240444204 555300555255 740400740340 1110601110510 2221202221020