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2442241340 = 2257211226553
BaseRepresentation
bin1001000110010001…
…1010010100111100
320022012111201021222
42101210122110330
520000203210330
61042201412512
7114343465100
oct22144322474
96265451258
102442241340
111043644080
12581a9a138
132cbc88726
141924d7900
15e461c0e5
hex9191a53c

2442241340 has 72 divisors (see below), whose sum is σ = 6508443312. Its totient is φ = 761214720.

The previous prime is 2442241331. The next prime is 2442241357. The reversal of 2442241340 is 431422442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102497 + ... + 124056.

It is an arithmetic number, because the mean of its divisors is an integer number (90395046).

Almost surely, 22442241340 is an apocalyptic number.

2442241340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442241340 is an abundant number, since it is smaller than the sum of its proper divisors (4066201972).

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

2442241340 is a wasteful number, since it uses less digits than its factorization.

2442241340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226587 (or 226578 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2442241340 is about 49419.0382342676. The cubic root of 2442241340 is about 1346.6751909676.

Adding to 2442241340 its reverse (431422442), we get a palindrome (2873663782).

The spelling of 2442241340 in words is "two billion, four hundred forty-two million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 226553 453106 906212 1132765 1585871 2265530 2492083 3171742 4531060 4984166 6343484 7929355 9968332 11101097 12460415 15858710 17444581 22202194 24920830 31717420 34889162 44404388 49841660 55505485 69778324 87222905 111010970 122112067 174445810 222021940 244224134 348891620 488448268 610560335 1221120670 2442241340