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2442422412 = 2232196475519
BaseRepresentation
bin1001000110010100…
…0110100010001100
320022012211220200100
42101211012202030
520000230004122
61042205331100
7114345151023
oct22145064214
96265756610
102442422412
111043758121
12581b66a90
132cc01cc81
141925438ba
15e4655aac
hex9194688c

2442422412 has 72 divisors (see below), whose sum is σ = 6510067200. Its totient is φ = 769959648.

The previous prime is 2442422399. The next prime is 2442422413. The reversal of 2442422412 is 2142242442.

2442422412 is a `hidden beast` number, since 2 + 4 + 4 + 242 + 2 + 412 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2442422413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439789 + ... + 445307.

It is an arithmetic number, because the mean of its divisors is an integer number (90417600).

Almost surely, 22442422412 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 2442422412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255033600).

2442422412 is an abundant number, since it is smaller than the sum of its proper divisors (4067644788).

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

2442422412 is a wasteful number, since it uses less digits than its factorization.

2442422412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6190 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 2442422412 is about 49420.8702068266. The cubic root of 2442422412 is about 1346.7084717550.

Adding to 2442422412 its reverse (2142242442), we get a palindrome (4584664854).

The spelling of 2442422412 in words is "two billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 647 684 1294 1941 2588 3882 5519 5823 7764 11038 11646 12293 16557 22076 23292 24586 33114 36879 49172 49671 66228 73758 99342 104861 110637 147516 198684 209722 221274 314583 419444 442548 629166 943749 1258332 1887498 3570793 3774996 7141586 10712379 14283172 21424758 32137137 42849516 64274274 67845067 128548548 135690134 203535201 271380268 407070402 610605603 814140804 1221211206 2442422412