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2022221022200 = 2352311512160031
BaseRepresentation
bin11101011011010101110…
…001000000001111111000
321011022201001121201220022
4131123111301000033320
5231113002040202300
64144555010350012
7266046344035241
oct35332561001770
97138631551808
102022221022200
1170a68a058745
12287b0588b308
13118905121112
146dc39b25cc8
1537908c19285
hex1d6d5c403f8

2022221022200 has 96 divisors (see below), whose sum is σ = 4885473976320. Its totient is φ = 777610800000.

The previous prime is 2022221022187. The next prime is 2022221022221. The reversal of 2022221022200 is 22201222202.

It is a super-2 number, since 2×20222210222002 (a number of 25 digits) contains 22 as substring.

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, 143816 + ... + 2016215.

It is an arithmetic number, because the mean of its divisors is an integer number (50890353920).

Almost surely, 22022221022200 is an apocalyptic number.

2022221022200 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 2022221022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442736988160).

2022221022200 is an abundant number, since it is smaller than the sum of its proper divisors (2863252954120).

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

2022221022200 is a wasteful number, since it uses less digits than its factorization.

2022221022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160229 (or 2160220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2022221022200 its reverse (22201222202), we get a palindrome (2044422244402).

The spelling of 2022221022200 in words is "two trillion, twenty-two billion, two hundred twenty-one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 151 155 200 248 302 310 604 620 755 775 1208 1240 1510 1550 3020 3100 3775 4681 6040 6200 7550 9362 15100 18724 23405 30200 37448 46810 93620 117025 187240 234050 468100 936200 2160031 4320062 8640124 10800155 17280248 21600310 43200620 54000775 66960961 86401240 108001550 133921922 216003100 267843844 326164681 334804805 432006200 535687688 652329362 669609610 1304658724 1339219220 1630823405 1674024025 2609317448 2678438440 3261646810 3348048050 6523293620 6696096100 8154117025 10111105111 13046587240 13392192200 16308234050 20222210222 32616468100 40444420444 50555525555 65232936200 80888840888 101111051110 202222102220 252777627775 404444204440 505555255550 1011110511100 2022221022200