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4383222480 = 24325721319503
BaseRepresentation
bin1000001010100001…
…01010101011010000
3102022110210202212100
410011100222223100
532434101104410
62002535400400
7213422530200
oct40520525320
912273722770
104383222480
11194a23aa1a
12a23b23100
1354b13a590
142d81cc400
151a9c228c0
hex10542aad0

4383222480 has 720 divisors, whose sum is σ = 19450005120. Its totient is φ = 874395648.

The previous prime is 4383222479. The next prime is 4383222497. The reversal of 4383222480 is 842223834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8713909 + ... + 8714411.

It is an arithmetic number, because the mean of its divisors is an integer number (27013896).

Almost surely, 24383222480 is an apocalyptic number.

4383222480 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 4383222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9725002560).

4383222480 is an abundant number, since it is smaller than the sum of its proper divisors (15066782640).

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

4383222480 is a wasteful number, since it uses less digits than its factorization.

4383222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4383222480 is about 66205.9097060074. The cubic root of 4383222480 is about 1636.5571339533.

The spelling of 4383222480 in words is "four billion, three hundred eighty-three million, two hundred twenty-two thousand, four hundred eighty".