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2422314144 = 25328410813
BaseRepresentation
bin1001000001100001…
…1001010010100000
320020211000022022200
42100120121102200
514430103023034
61040210333200
7114012221235
oct22030312240
96224008280
102422314144
111033373518
1257728a200
132c7acc4a3
1418d9cb78c
15e29d2a99
hex906194a0

2422314144 has 36 divisors (see below), whose sum is σ = 6888456666. Its totient is φ = 807437952.

The previous prime is 2422314127. The next prime is 2422314151. The reversal of 2422314144 is 4414132242.

2422314144 is a `hidden beast` number, since 24 + 223 + 1 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2263856400 + 158457744 = 47580^2 + 12588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4205119 + ... + 4205694.

Almost surely, 22422314144 is an apocalyptic number.

2422314144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2422314144 is an abundant number, since it is smaller than the sum of its proper divisors (4466142522).

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

2422314144 is a wasteful number, since it uses less digits than its factorization.

2422314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410829 (or 8410818 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2422314144 is about 49217.0107178402. The cubic root of 2422314144 is about 1343.0025017755.

Adding to 2422314144 its reverse (4414132242), we get a palindrome (6836446386).

The spelling of 2422314144 in words is "two billion, four hundred twenty-two million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8410813 16821626 25232439 33643252 50464878 67286504 75697317 100929756 134573008 151394634 201859512 269146016 302789268 403719024 605578536 807438048 1211157072 2422314144