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2221113400 = 2352114353443
BaseRepresentation
bin1000010001100011…
…1000000000111000
312201210102020210021
42010120320000320
514022101112100
61004222100224
7106020103162
oct20430700070
95653366707
102221113400
11a3a840410
1251ba1a674
132952147ac
14170db5932
15ceedca1a
hex84638038

2221113400 has 192 divisors, whose sum is σ = 5886587520. Its totient is φ = 772262400.

The previous prime is 2221113373. The next prime is 2221113407. The reversal of 2221113400 is 43111222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221113407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5013579 + ... + 5014021.

It is an arithmetic number, because the mean of its divisors is an integer number (30659310).

Almost surely, 22221113400 is an apocalyptic number.

2221113400 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 2221113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943293760).

2221113400 is an abundant number, since it is smaller than the sum of its proper divisors (3665474120).

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

2221113400 is a wasteful number, since it uses less digits than its factorization.

2221113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2221113400 is about 47128.6897759740. The cubic root of 2221113400 is about 1304.7387996681.

Adding to 2221113400 its reverse (43111222), we get a palindrome (2264224622).

The spelling of 2221113400 in words is "two billion, two hundred twenty-one million, one hundred thirteen thousand, four hundred".