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2442204024 = 233137827577
BaseRepresentation
bin1001000110010001…
…0001001101111000
320022012102211002220
42101210101031320
520000201012044
61042200524040
7114343251231
oct22144211570
96265384086
102442204024
111043619037
12581a80620
132cbc74750
141924c8088
15e4611019
hex91911378

2442204024 has 32 divisors (see below), whose sum is σ = 6575165520. Its totient is φ = 751447296.

The previous prime is 2442203983. The next prime is 2442204029. The reversal of 2442204024 is 4204022442.

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

It is a junction number, because it is equal to n+sod(n) for n = 2442203985 and 2442204003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442204029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3913477 + ... + 3914100.

Almost surely, 22442204024 is an apocalyptic number.

2442204024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442204024 is an abundant number, since it is smaller than the sum of its proper divisors (4132961496).

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

2442204024 is a wasteful number, since it uses less digits than its factorization.

2442204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827599 (or 7827595 counting only the distinct ones).

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

The square root of 2442204024 is about 49418.6606860202. The cubic root of 2442204024 is about 1346.6683321331.

Adding to 2442204024 its reverse (4204022442), we get a palindrome (6646226466).

The spelling of 2442204024 in words is "two billion, four hundred forty-two million, two hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 7827577 15655154 23482731 31310308 46965462 62620616 93930924 101758501 187861848 203517002 305275503 407034004 610551006 814068008 1221102012 2442204024