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4223101344 = 2537112167311
BaseRepresentation
bin1111101110110111…
…0110100110100000
3101220022111202221220
43323231312212200
532122103220334
61535015415040
7206436524550
oct37355664640
911808452856
104223101344
111877915600
1299a384480
13523c06947
142c0c2b160
1519ab44449
hexfbb769a0

4223101344 has 288 divisors, whose sum is σ = 14054197248. Its totient is φ = 1086835200.

The previous prime is 4223101339. The next prime is 4223101361. The reversal of 4223101344 is 4431013224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13578949 + ... + 13579259.

It is an arithmetic number, because the mean of its divisors is an integer number (48799296).

Almost surely, 24223101344 is an apocalyptic number.

4223101344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027098624).

4223101344 is an abundant number, since it is smaller than the sum of its proper divisors (9831095904).

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

4223101344 is a wasteful number, since it uses less digits than its factorization.

4223101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4223101344 is about 64985.3933126514. The cubic root of 4223101344 is about 1616.3813636097.

Adding to 4223101344 its reverse (4431013224), we get a palindrome (8654114568).

The spelling of 4223101344 in words is "four billion, two hundred twenty-three million, one hundred one thousand, three hundred forty-four".