Search a number
-
+
2221002021200 = 245261733124181
BaseRepresentation
bin100000010100011110000…
…010010101100101010000
321212022210110010202101112
4200110132002111211100
5242342103004134300
64420151513152452
7316314333455414
oct40243602254520
97768713122345
102221002021200
11786a158153a6
122ba5410bb728
13131593a25311
14796d5d6cd44
153cb9014ce35
hex2051e095950

2221002021200 has 120 divisors (see below), whose sum is σ = 5430874752216. Its totient is φ = 872637696000.

The previous prime is 2221002021181. The next prime is 2221002021211. The reversal of 2221002021200 is 21202001222.

It can be written as a sum of positive squares in 12 ways, for example, as 127331930896 + 2093670090304 = 356836^2 + 1446952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17823110 + ... + 17947290.

Almost surely, 22221002021200 is an apocalyptic number.

2221002021200 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 2221002021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715437376108).

2221002021200 is an abundant number, since it is smaller than the sum of its proper divisors (3209872731016).

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

2221002021200 is a wasteful number, since it uses less digits than its factorization.

2221002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124993 (or 124982 counting only the distinct ones).

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

Adding to 2221002021200 its reverse (21202001222), we get a palindrome (2242204022422).

The spelling of 2221002021200 in words is "two trillion, two hundred twenty-one billion, two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 733 976 1220 1466 1525 2440 2932 3050 3665 4880 5864 6100 7330 11728 12200 14660 18325 24400 29320 36650 44713 58640 73300 89426 124181 146600 178852 223565 248362 293200 357704 447130 496724 620905 715408 894260 993448 1117825 1241810 1788520 1986896 2235650 2483620 3104525 3577040 4471300 4967240 6209050 7575041 8942600 9934480 12418100 15150082 17885200 24836200 30300164 37875205 49672400 60600328 75750410 91024673 121200656 151500820 182049346 189376025 303001640 364098692 378752050 455123365 606003280 728197384 757504100 910246730 1456394768 1515008200 1820493460 2275616825 3030016400 3640986920 4551233650 5552505053 7281973840 9102467300 11105010106 18204934600 22210020212 27762525265 36409869200 44420040424 55525050530 88840080848 111050101060 138812626325 222100202120 277625252650 444200404240 555250505300 1110501010600 2221002021200