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22002021022200 = 23352223257963761
BaseRepresentation
bin1010000000010101111101…
…01001011011100111111000
32212220101001200012220212220
411000022332221123213320
510340440114340202300
6114443331112404040
74430410406645652
oct500127651334770
985811050186786
1022002021022200
1170130063037aa
1225741803a6620
13c37a21472c1b
14560c912b96d2
152824ca4c9da0
hex1402bea5b9f8

22002021022200 has 192 divisors, whose sum is σ = 68539763174400. Its totient is φ = 5838538905600.

The previous prime is 22002021022193. The next prime is 22002021022213. The reversal of 22002021022200 is 222012020022.

It is a super-2 number, since 2×220020210222002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22002021022200.

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 47 ways as a sum of consecutive naturals, for example, 345038320 + ... + 345102080.

It is an arithmetic number, because the mean of its divisors is an integer number (356977933200).

Almost surely, 222002021022200 is an apocalyptic number.

22002021022200 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 22002021022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269881587200).

22002021022200 is an abundant number, since it is smaller than the sum of its proper divisors (46537742152200).

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

22002021022200 is a wasteful number, since it uses less digits than its factorization.

22002021022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66582 (or 66573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22002021022200 its reverse (222012020022), we get a palindrome (22224033042222).

The spelling of 22002021022200 in words is "twenty-two trillion, two billion, twenty-one million, twenty-two thousand, two hundred".