Search a number
-
+
2221202210200 = 2352312811274941
BaseRepresentation
bin100000010100101001111…
…101111111110110011000
321212100022101211102001221
4200110221331333312120
5242343010231211300
64420223424021424
7316322314161001
oct40245175776630
97770271742057
102221202210200
11787008817356
122ba598161874
131315c634764c
14797147a01a8
153cba29e331a
hex20529f7fd98

2221202210200 has 96 divisors (see below), whose sum is σ = 5349860622720. Its totient is φ = 856759680000.

The previous prime is 2221202210099. The next prime is 2221202210221. The reversal of 2221202210200 is 20122021222.

It is a super-3 number, since 3×22212022102003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104730 + ... + 2379670.

It is an arithmetic number, because the mean of its divisors is an integer number (55727714820).

Almost surely, 22221202210200 is an apocalyptic number.

2221202210200 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 2221202210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674930311360).

2221202210200 is an abundant number, since it is smaller than the sum of its proper divisors (3128658412520).

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

2221202210200 is a wasteful number, since it uses less digits than its factorization.

2221202210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275269 (or 1275260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2221202210200 its reverse (20122021222), we get a palindrome (2241324231422).

It can be divided in two parts, 22212022 and 10200, that added together give a palindrome (22222222).

The spelling of 2221202210200 in words is "two trillion, two hundred twenty-one billion, two hundred two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 281 310 562 620 775 1124 1240 1405 1550 2248 2810 3100 5620 6200 7025 8711 11240 14050 17422 28100 34844 43555 56200 69688 87110 174220 217775 348440 435550 871100 1274941 1742200 2549882 5099764 6374705 10199528 12749410 25498820 31873525 39523171 50997640 63747050 79046342 127494100 158092684 197615855 254988200 316185368 358258421 395231710 716516842 790463420 988079275 1433033684 1580926840 1791292105 1976158550 2866067368 3582584210 3952317100 7165168420 7904634200 8956460525 11106011051 14330336840 17912921050 22212022102 35825842100 44424044204 55530055255 71651684200 88848088408 111060110510 222120221020 277650276275 444240442040 555300552550 1110601105100 2221202210200