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2241313620 = 2235713410497
BaseRepresentation
bin1000010110010111…
…1011101101010100
312210012102112021120
42011211323231110
514042234013440
61010223043540
7106353565020
oct20545735524
95705375246
102241313620
11a50188107
125267405b0
132994680a0
14173953380
15d1b7cdd0
hex8597bb54

2241313620 has 96 divisors (see below), whose sum is σ = 7723930368. Its totient is φ = 472891392.

The previous prime is 2241313601. The next prime is 2241313673. The reversal of 2241313620 is 263131422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199789 + ... + 210708.

It is an arithmetic number, because the mean of its divisors is an integer number (80457608).

Almost surely, 22241313620 is an apocalyptic number.

2241313620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241313620 is an abundant number, since it is smaller than the sum of its proper divisors (5482616748).

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

2241313620 is a wasteful number, since it uses less digits than its factorization.

2241313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410529 (or 410527 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2241313620 is about 47342.5138749518. The cubic root of 2241313620 is about 1308.6822442206.

The spelling of 2241313620 in words is "two billion, two hundred forty-one million, three hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 410497 820994 1231491 1641988 2052485 2462982 2873479 4104970 4925964 5336461 5746958 6157455 8209940 8620437 10672922 11493916 12314910 14367395 16009383 17240874 21345844 24629820 26682305 28734790 32018766 34481748 37355227 43102185 53364610 57469580 64037532 74710454 80046915 86204370 106729220 112065681 149420908 160093830 172408740 186776135 224131362 320187660 373552270 448262724 560328405 747104540 1120656810 2241313620