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2201232320 = 2657982693
BaseRepresentation
bin1000001100110100…
…0010001111000000
312200102000012001222
42003031002033000
514002003413240
61002232014212
7105356110640
oct20315021700
95612005058
102201232320
11a2a5a1471
12515231368
13291073541
1416c4bc520
15cd3b1eb5
hex833423c0

2201232320 has 56 divisors (see below), whose sum is σ = 5990502624. Its totient is φ = 754707456.

The previous prime is 2201232311. The next prime is 2201232329. The reversal of 2201232320 is 232321022.

It is an interprime number because it is at equal distance from previous prime (2201232311) and next prime (2201232329).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×22012323203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201232329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489107 + ... + 493586.

Almost surely, 22201232320 is an apocalyptic number.

2201232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201232320 is an abundant number, since it is smaller than the sum of its proper divisors (3789270304).

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

2201232320 is an equidigital number, since it uses as much as digits as its factorization.

2201232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982717 (or 982707 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2201232320 is about 46917.2923344901. The cubic root of 2201232320 is about 1300.8342416526.

Adding to 2201232320 its reverse (232321022), we get a palindrome (2433553342).

The spelling of 2201232320 in words is "two billion, two hundred one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 982693 1965386 3930772 4913465 6878851 7861544 9826930 13757702 15723088 19653860 27515404 31446176 34394255 39307720 55030808 62892352 68788510 78615440 110061616 137577020 157230880 220123232 275154040 314461760 440246464 550308080 1100616160 2201232320