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4222422144 = 27323665297
BaseRepresentation
bin1111101110101101…
…0000110010000000
3101220021020021021100
43323223100302000
532121420002034
61534553054400
7206430665433
oct37353206200
911807207240
104222422144
1118774a1286
1299a0b7400
13523a29755
142c0ad181a
1519aa5d099
hexfbad0c80

4222422144 has 48 divisors (see below), whose sum is σ = 12150462870. Its totient is φ = 1407473664.

The previous prime is 4222422137. The next prime is 4222422157. The reversal of 4222422144 is 4412242224.

4222422144 is a `hidden beast` number, since 4 + 222 + 422 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3443342400 + 779079744 = 58680^2 + 27912^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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, 1831497 + ... + 1833800.

Almost surely, 24222422144 is an apocalyptic number.

It is an amenable number.

4222422144 is an abundant number, since it is smaller than the sum of its proper divisors (7928040726).

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

4222422144 is a wasteful number, since it uses less digits than its factorization.

4222422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665317 (or 3665302 counting only the distinct ones).

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

The square root of 4222422144 is about 64980.1673128040. The cubic root of 4222422144 is about 1616.2947049361.

Adding to 4222422144 its reverse (4412242224), we get a palindrome (8634664368).

The spelling of 4222422144 in words is "four billion, two hundred twenty-two million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3665297 7330594 10995891 14661188 21991782 29322376 32987673 43983564 58644752 65975346 87967128 117289504 131950692 175934256 234579008 263901384 351868512 469158016 527802768 703737024 1055605536 1407474048 2111211072 4222422144