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2212201200 = 2435211295779
BaseRepresentation
bin1000001111011011…
…1000001011110000
312201011122110112210
42003312320023300
514012310414300
61003303052120
7105551254116
oct20366701360
95634573483
102212201200
11a35803560
12518a41040
132934140c1
1416db35ab6
15ce32c050
hex83db82f0

2212201200 has 240 divisors, whose sum is σ = 7998595200. Its totient is φ = 517708800.

The previous prime is 2212201193. The next prime is 2212201219. The reversal of 2212201200 is 21022122.

It is a tau number, because it is divible by the number of its divisors (240).

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, 379911 + ... + 385689.

It is an arithmetic number, because the mean of its divisors is an integer number (33327480).

Almost surely, 22212201200 is an apocalyptic number.

2212201200 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 2212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999297600).

2212201200 is an abundant number, since it is smaller than the sum of its proper divisors (5786394000).

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

2212201200 is a wasteful number, since it uses less digits than its factorization.

2212201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5829 counting only the distinct ones).

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

The square root of 2212201200 is about 47034.0429901577. The cubic root of 2212201200 is about 1302.9913756905.

Adding to 2212201200 its reverse (21022122), we get a palindrome (2233223322).

The spelling of 2212201200 in words is "two billion, two hundred twelve million, two hundred one thousand, two hundred".