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2440220442 = 231171520747
BaseRepresentation
bin1001000101110010…
…1100111100011010
320022001201001010220
42101130230330122
514444144023232
61042050220510
7114320350212
oct22134547432
96261631126
102440220442
111042493810
12581284736
132cb72b92a
1419212d242
15e436d42c
hex9172cf1a

2440220442 has 32 divisors (see below), whose sum is σ = 5399115264. Its totient is φ = 729044400.

The previous prime is 2440220441. The next prime is 2440220473.

2440220442 is nontrivially palindromic in base 10.

2440220442 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2440220441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255688 + ... + 265059.

It is an arithmetic number, because the mean of its divisors is an integer number (168722352).

Almost surely, 22440220442 is an apocalyptic number.

2440220442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2440220442 is an abundant number, since it is smaller than the sum of its proper divisors (2958894822).

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

2440220442 is a wasteful number, since it uses less digits than its factorization.

2440220442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520834.

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2440220442 is about 49398.5874494403. The cubic root of 2440220442 is about 1346.3036409822.

It can be divided in two parts, 24402 and 20442, that added together give a palindrome (44844).

The spelling of 2440220442 in words is "two billion, four hundred forty million, two hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 520747 1041494 1562241 3124482 5728217 11456434 17184651 34369302 36973037 73946074 110919111 221838222 406703407 813406814 1220110221 2440220442