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2032220320 = 255138811109
BaseRepresentation
bin111100100100001…
…0011100010100000
312020121222111012021
41321020103202200
513130222022240
6533353311224
7101234405404
oct17110234240
95217874167
102032220320
11953154229
12488705514
13265048b40
14153c85104
15bd62954a
hex792138a0

2032220320 has 96 divisors (see below), whose sum is σ = 5180973840. Its totient is φ = 748830720.

The previous prime is 2032220317. The next prime is 2032220321. The reversal of 2032220320 is 230222302.

It can be written as a sum of positive squares in 8 ways, for example, as 374544 + 2031845776 = 612^2 + 45076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2032220294 and 2032220303.

It is not an unprimeable number, because it can be changed into a prime (2032220321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831926 + ... + 1833034.

Almost surely, 22032220320 is an apocalyptic number.

2032220320 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 2032220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590486920).

2032220320 is an abundant number, since it is smaller than the sum of its proper divisors (3148753520).

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

2032220320 is a wasteful number, since it uses less digits than its factorization.

2032220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2032220320 is about 45080.1543919273. The cubic root of 2032220320 is about 1266.6508819209.

Adding to 2032220320 its reverse (230222302), we get a palindrome (2262442622).

The spelling of 2032220320 in words is "two billion, thirty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 881 1040 1109 1762 2080 2218 3524 4405 4436 5545 7048 8810 8872 11090 11453 14096 14417 17620 17744 22180 22906 28192 28834 35240 35488 44360 45812 57265 57668 70480 72085 88720 91624 114530 115336 140960 144170 177440 183248 229060 230672 288340 366496 458120 461344 576680 916240 977029 1153360 1832480 1954058 2306720 3908116 4885145 7816232 9770290 12701377 15632464 19540580 25402754 31264928 39081160 50805508 63506885 78162320 101611016 127013770 156324640 203222032 254027540 406444064 508055080 1016110160 2032220320