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2032201320 = 2335371792557
BaseRepresentation
bin111100100100000…
…1110111001101000
312020121221112010120
41321020032321220
513130220420240
6533353043240
7101234266122
oct17110167150
95217845116
102032201320
11953140a26
124886b6520
132650402b6
14153c7c212
15bd623ad0
hex7920ee68

2032201320 has 128 divisors (see below), whose sum is σ = 6298819200. Its totient is φ = 524123136.

The previous prime is 2032201319. The next prime is 2032201331. The reversal of 2032201320 is 231022302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2032201320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793482 + ... + 796038.

It is an arithmetic number, because the mean of its divisors is an integer number (49209525).

Almost surely, 22032201320 is an apocalyptic number.

2032201320 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 2032201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149409600).

2032201320 is an abundant number, since it is smaller than the sum of its proper divisors (4266617880).

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

2032201320 is a wasteful number, since it uses less digits than its factorization.

2032201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2032201320 is about 45079.9436556879. The cubic root of 2032201320 is about 1266.6469344418.

Adding to 2032201320 its reverse (231022302), we get a palindrome (2263223622).

The spelling of 2032201320 in words is "two billion, thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 179 185 222 296 358 370 444 537 555 716 740 888 895 1074 1110 1432 1480 1790 2148 2220 2557 2685 3580 4296 4440 5114 5370 6623 7160 7671 10228 10740 12785 13246 15342 19869 20456 21480 25570 26492 30684 33115 38355 39738 51140 52984 61368 66230 76710 79476 94609 99345 102280 132460 153420 158952 189218 198690 264920 283827 306840 378436 397380 457703 473045 567654 756872 794760 915406 946090 1135308 1373109 1419135 1830812 1892180 2270616 2288515 2746218 2838270 3661624 3784360 4577030 5492436 5676540 6865545 9154060 10984872 11353080 13731090 16935011 18308120 27462180 33870022 50805033 54924360 67740044 84675055 101610066 135480088 169350110 203220132 254025165 338700220 406440264 508050330 677400440 1016100660 2032201320