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4400220000 = 253541159113
BaseRepresentation
bin1000001100100011…
…00000011101100000
3102100122210100002010
410012101200131200
533002424020000
62004343552520
7214020152511
oct40621403540
912318710063
104400220000
11195889a460
12a2975b740
1355180c197
142da574a08
151ab47dd50
hex106460760

4400220000 has 480 divisors, whose sum is σ = 16154328960. Its totient is φ = 1039360000.

The previous prime is 4400219969. The next prime is 4400220023. The reversal of 4400220000 is 220044.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38939944 + ... + 38940056.

It is an arithmetic number, because the mean of its divisors is an integer number (33654852).

Almost surely, 24400220000 is an apocalyptic number.

4400220000 is a gapful number since it is divisible by the number (40) 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 4400220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077164480).

4400220000 is an abundant number, since it is smaller than the sum of its proper divisors (11754108960).

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

4400220000 is a wasteful number, since it uses less digits than its factorization.

4400220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4400220000 is about 66334.1540987748. The cubic root of 4400220000 is about 1638.6698514551.

Adding to 4400220000 its reverse (220044), we get a palindrome (4400440044).

The spelling of 4400220000 in words is "four billion, four hundred million, two hundred twenty thousand".