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2230213320 = 2332583101739
BaseRepresentation
bin1000010011101110…
…0101101011001000
312202102112120112100
42010323211223020
514031413311240
61005145113400
7106160333436
oct20473455310
95672476470
102230213320
11a44996305
12522a88860
1329707c76a
141722a3d56
15d0bd8e30
hex84ee5ac8

2230213320 has 192 divisors, whose sum is σ = 7418174400. Its totient is φ = 580953600.

The previous prime is 2230213301. The next prime is 2230213333. The reversal of 2230213320 is 233120322.

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 = 2230213293 and 2230213302.

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, 3017511 + ... + 3018249.

It is an arithmetic number, because the mean of its divisors is an integer number (38636325).

Almost surely, 22230213320 is an apocalyptic number.

2230213320 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 2230213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709087200).

2230213320 is an abundant number, since it is smaller than the sum of its proper divisors (5187961080).

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

2230213320 is a wasteful number, since it uses less digits than its factorization.

2230213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230213320 is about 47225.1344095493. The cubic root of 2230213320 is about 1306.5182136751.

Adding to 2230213320 its reverse (233120322), we get a palindrome (2463333642).

The spelling of 2230213320 in words is "two billion, two hundred thirty million, two hundred thirteen thousand, three hundred twenty".