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2223132120 = 2332511717907
BaseRepresentation
bin1000010010000010…
…0100110111011000
312201221012210221200
42010200210313120
514023110211440
61004333234200
7106043211516
oct20440446730
95657183850
102223132120
11a4099a080
12520632960
132957705c1
1417137d4b6
15d028ac30
hex84824dd8

2223132120 has 192 divisors, whose sum is σ = 7994039040. Its totient is φ = 531283200.

The previous prime is 2223132097. The next prime is 2223132133. The reversal of 2223132120 is 212313222.

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 = 2223132093 and 2223132102.

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, 277207 + ... + 285113.

It is an arithmetic number, because the mean of its divisors is an integer number (41635620).

Almost surely, 22223132120 is an apocalyptic number.

2223132120 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 2223132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997019520).

2223132120 is an abundant number, since it is smaller than the sum of its proper divisors (5770906920).

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

2223132120 is a wasteful number, since it uses less digits than its factorization.

2223132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2223132120 is about 47150.1020147359. The cubic root of 2223132120 is about 1305.1339625547.

Adding to 2223132120 its reverse (212313222), we get a palindrome (2435445342).

The spelling of 2223132120 in words is "two billion, two hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".