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4422314244 = 223171271311303
BaseRepresentation
bin1000001111001011…
…10010100100000100
3102102012100211200110
410013211302210010
533024103023434
62010453313020
7214406023305
oct40745624404
912365324613
104422314244
11196a310167
12a35035770
135562768ba
142dd4867ac
151ad3954e9
hex107972904

4422314244 has 96 divisors (see below), whose sum is σ = 11104321536. Its totient is φ = 1364912640.

The previous prime is 4422314191. The next prime is 4422314249. The reversal of 4422314244 is 4424132244.

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 (4422314249) 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 31 ways as a sum of consecutive naturals, for example, 3393297 + ... + 3394599.

It is an arithmetic number, because the mean of its divisors is an integer number (115670016).

Almost surely, 24422314244 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 4422314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552160768).

4422314244 is an abundant number, since it is smaller than the sum of its proper divisors (6682007292).

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

4422314244 is a wasteful number, since it uses less digits than its factorization.

4422314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 4422314244 is about 66500.4830358397. The cubic root of 4422314244 is about 1641.4079526252.

Adding to 4422314244 its reverse (4424132244), we get a palindrome (8846446488).

The spelling of 4422314244 in words is "four billion, four hundred twenty-two million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 131 204 254 262 381 393 508 524 762 786 1303 1524 1572 2159 2227 2606 3909 4318 4454 5212 6477 6681 7818 8636 8908 12954 13362 15636 16637 22151 25908 26724 33274 44302 49911 66453 66548 88604 99822 132906 165481 170693 199644 265812 282829 330962 341386 496443 512079 565658 661924 682772 848487 992886 1024158 1131316 1696974 1985772 2048316 2813177 2901781 3393948 5626354 5803562 8439531 8705343 11252708 11607124 16879062 17410686 21678011 33758124 34821372 43356022 65034033 86712044 130068066 260136132 368526187 737052374 1105578561 1474104748 2211157122 4422314244