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2442422444 = 2272112834003
BaseRepresentation
bin1001000110010100…
…0110100010101100
320022012211220201112
42101211012202230
520000230004234
61042205331152
7114345151100
oct22145064254
96265756645
102442422444
111043758150
12581b66ab8
132cc01cca7
14192543900
15e4655ace
hex919468ac

2442422444 has 72 divisors (see below), whose sum is σ = 5444607168. Its totient is φ = 947993760.

The previous prime is 2442422413. The next prime is 2442422449. The reversal of 2442422444 is 4442242442.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2442422444.

It is not an unprimeable number, because it can be changed into a prime (2442422449) 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 23 ways as a sum of consecutive naturals, for example, 608147 + ... + 612149.

It is an arithmetic number, because the mean of its divisors is an integer number (75619544).

Almost surely, 22442422444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722303584).

2442422444 is an abundant number, since it is smaller than the sum of its proper divisors (3002184724).

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

2442422444 is a wasteful number, since it uses less digits than its factorization.

2442422444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4306 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

The square root of 2442422444 is about 49420.8705305765. The cubic root of 2442422444 is about 1346.7084776364.

Adding to 2442422444 its reverse (4442242442), we get a palindrome (6884664886).

The spelling of 2442422444 in words is "two billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 283 308 539 566 1078 1132 1981 2156 3113 3962 4003 6226 7924 8006 12452 13867 16012 21791 27734 28021 43582 44033 55468 56042 87164 88066 112084 152537 176132 196147 305074 308231 392294 610148 616462 784588 1132849 1232924 2157617 2265698 4315234 4531396 7929943 8630468 12461339 15859886 24922678 31719772 49845356 55509601 87229373 111019202 174458746 222038404 348917492 610605611 1221211222 2442422444