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4226332064 = 252312594561
BaseRepresentation
bin1111101111101000…
…1011010110100000
3101220112120220200012
43323322023112200
532123420111224
61535212544052
7206506141553
oct37372132640
911815526605
104226332064
111879721919
1299b482028
13524798306
142c142c69a
1519b08180e
hexfbe8b5a0

4226332064 has 48 divisors (see below), whose sum is σ = 8691157440. Its totient is φ = 2019240960.

The previous prime is 4226332057. The next prime is 4226332129. The reversal of 4226332064 is 4602336224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4226332064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924344 + ... + 928904.

It is an arithmetic number, because the mean of its divisors is an integer number (181065780).

Almost surely, 24226332064 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 4226332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345578720).

4226332064 is an abundant number, since it is smaller than the sum of its proper divisors (4464825376).

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

4226332064 is a wasteful number, since it uses less digits than its factorization.

4226332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 4226332064 is about 65010.2458386369. The cubic root of 4226332064 is about 1616.7934418503.

Adding to 4226332064 its reverse (4602336224), we get a palindrome (8828668288).

The spelling of 4226332064 in words is "four billion, two hundred twenty-six million, three hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1259 2518 4561 5036 9122 10072 18244 20144 28957 36488 40288 57914 72976 104903 115828 145952 209806 231656 419612 463312 839224 926624 1678448 3356896 5742299 11484598 22969196 45938392 91876784 132072877 183753568 264145754 528291508 1056583016 2113166032 4226332064