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2241201300 = 2235213574667
BaseRepresentation
bin1000010110010110…
…0000010010010100
312210012012211012120
42011211200102110
514042221420200
61010220415540
7106352616402
oct20545402224
95705184176
102241201300
11a50110788
125266a75b0
13299428c20
14173924472
15d1b599a0
hex85960494

2241201300 has 72 divisors (see below), whose sum is σ = 6983365536. Its totient is φ = 551679360.

The previous prime is 2241201283. The next prime is 2241201311. The reversal of 2241201300 is 31021422.

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 2241201300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 283434 + ... + 291233.

It is an arithmetic number, because the mean of its divisors is an integer number (96991188).

Almost surely, 22241201300 is an apocalyptic number.

2241201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241201300 is an abundant number, since it is smaller than the sum of its proper divisors (4742164236).

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

2241201300 is a wasteful number, since it uses less digits than its factorization.

2241201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574697 (or 574690 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2241201300 is about 47341.3276112954. The cubic root of 2241201300 is about 1308.6603829865.

Adding to 2241201300 its reverse (31021422), we get a palindrome (2272222722).

The spelling of 2241201300 in words is "two billion, two hundred forty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 574667 1149334 1724001 2298668 2873335 3448002 5746670 6896004 7470671 8620005 11493340 14366675 14941342 17240010 22412013 28733350 29882684 34480020 37353355 43100025 44824026 57466700 74706710 86200050 89648052 112060065 149413420 172400100 186766775 224120130 373533550 448240260 560300325 747067100 1120600650 2241201300