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220012240200 = 233524128513137
BaseRepresentation
bin1100110011100111000…
…0000101110101001000
3210000220000211211010220
43030321300011311020
512101041113141300
6245023333510040
721616052120424
oct3147160056510
9700800754126
10220012240200
11853411a0495
12367817a2320
13179933c121c
14a911c71b84
155aca30bda0
hex3339c05d48

220012240200 has 192 divisors, whose sum is σ = 699140877120. Its totient is φ = 57200640000.

The previous prime is 220012240199. The next prime is 220012240213. The reversal of 220012240200 is 2042210022.

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 220012240200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70133032 + ... + 70136168.

It is an arithmetic number, because the mean of its divisors is an integer number (3641358735).

Almost surely, 2220012240200 is an apocalyptic number.

220012240200 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 220012240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349570438560).

220012240200 is an abundant number, since it is smaller than the sum of its proper divisors (479128636920).

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

220012240200 is a wasteful number, since it uses less digits than its factorization.

220012240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048 (or 6039 counting only the distinct ones).

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

Adding to 220012240200 its reverse (2042210022), we get a palindrome (222054450222).

The spelling of 220012240200 in words is "two hundred twenty billion, twelve million, two hundred forty thousand, two hundred".