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4468226112 = 263372113467
BaseRepresentation
bin1000010100101001…
…11011100001000000
3102112101202101221000
410022110323201000
533122331213422
62015213332000
7215504203200
oct41224734100
912471671830
104468226112
111993219459
12a48497000
1356293029c
143055d8400
151b2413cac
hex10a53b840

4468226112 has 336 divisors, whose sum is σ = 15448605120. Its totient is φ = 1262628864.

The previous prime is 4468226111. The next prime is 4468226129. The reversal of 4468226112 is 2116228644.

4468226112 is a `hidden beast` number, since 446 + 82 + 26 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (4468226111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9567703 + ... + 9568169.

Almost surely, 24468226112 is an apocalyptic number.

4468226112 is a gapful number since it is divisible by the number (42) 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 4468226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724302560).

4468226112 is an abundant number, since it is smaller than the sum of its proper divisors (10980379008).

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

4468226112 is a wasteful number, since it uses less digits than its factorization.

4468226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4468226112 is about 66844.7912106845. The cubic root of 4468226112 is about 1647.0686996271.

The spelling of 4468226112 in words is "four billion, four hundred sixty-eight million, two hundred twenty-six thousand, one hundred twelve".