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2101222200 = 2335271145481
BaseRepresentation
bin111110100111110…
…0001101100111000
312102102211010222110
41331033201230320
513300403102300
6544300252320
7103033044150
oct17517415470
95372733873
102101222200
119890a3380
124a78410a0
1327642825c
1415d0c7760
15c4709550
hex7d3e1b38

2101222200 has 192 divisors, whose sum is σ = 8121265920. Its totient is φ = 436608000.

The previous prime is 2101222199. The next prime is 2101222261. The reversal of 2101222200 is 22221012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23460 + ... + 68940.

It is an arithmetic number, because the mean of its divisors is an integer number (42298260).

Almost surely, 22101222200 is an apocalyptic number.

2101222200 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 2101222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060632960).

2101222200 is an abundant number, since it is smaller than the sum of its proper divisors (6020043720).

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

2101222200 is a wasteful number, since it uses less digits than its factorization.

2101222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45518 (or 45509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101222200 is about 45839.0903051097. The cubic root of 2101222200 is about 1280.8275491652.

Adding to 2101222200 its reverse (22221012), we get a palindrome (2123443212).

The spelling of 2101222200 in words is "two billion, one hundred one million, two hundred twenty-two thousand, two hundred".