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2212110720 = 2732517192941
BaseRepresentation
bin1000001111011010…
…0010000110000000
312201011110212102200
42003312202012000
514012300020340
61003301113200
7105550426251
oct20366420600
95634425380
102212110720
11a35751586
125189b8800
132933b1b71
1416db10b28
15ce310330
hex83da2180

2212110720 has 768 divisors, whose sum is σ = 9022104000. Its totient is φ = 495452160.

The previous prime is 2212110683. The next prime is 2212110731. The reversal of 2212110720 is 270112122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212110693 and 2212110702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53953900 + ... + 53953940.

Almost surely, 22212110720 is an apocalyptic number.

2212110720 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 2212110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511052000).

2212110720 is an abundant number, since it is smaller than the sum of its proper divisors (6809993280).

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

2212110720 is a wasteful number, since it uses less digits than its factorization.

2212110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2212110720 is about 47033.0811238218. The cubic root of 2212110720 is about 1302.9736111419.

Adding to 2212110720 its reverse (270112122), we get a palindrome (2482222842).

The spelling of 2212110720 in words is "two billion, two hundred twelve million, one hundred ten thousand, seven hundred twenty".