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2443122240 = 2635131631201
BaseRepresentation
bin1001000110011111…
…0001011001000000
320022021011110122220
42101213301121000
520000414402430
61042232331040
7114354124236
oct22147613100
96267143586
102443122240
111044095999
12582243a80
132cc206680
14192686956
15e4743110
hex919f1640

2443122240 has 224 divisors, whose sum is σ = 8411846016. Its totient is φ = 597196800.

The previous prime is 2443122203. The next prime is 2443122251. The reversal of 2443122240 is 422213442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2443122240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033640 + ... + 2034840.

It is an arithmetic number, because the mean of its divisors is an integer number (37552884).

Almost surely, 22443122240 is an apocalyptic number.

2443122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205923008).

2443122240 is an abundant number, since it is smaller than the sum of its proper divisors (5968723776).

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

2443122240 is a wasteful number, since it uses less digits than its factorization.

2443122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2443122240 is about 49427.9499878358. The cubic root of 2443122240 is about 1346.8370837280.

Adding to 2443122240 its reverse (422213442), we get a palindrome (2865335682).

The spelling of 2443122240 in words is "two billion, four hundred forty-three million, one hundred twenty-two thousand, two hundred forty".