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5480020224 = 28337532137
BaseRepresentation
bin1010001101010001…
…00111100100000000
3112010220121212112000
411012220213210000
542210341121344
62303435504000
7252541255230
oct50650474400
915126555460
105480020224
112362368338
12108b2b8000
13694439823
1439db35cc0
15221174a69
hex146a27900

5480020224 has 288 divisors, whose sum is σ = 18878711040. Its totient is φ = 1535459328.

The previous prime is 5480020219. The next prime is 5480020237. The reversal of 5480020224 is 4220200845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2563284 + ... + 2565420.

It is an arithmetic number, because the mean of its divisors is an integer number (65551080).

Almost surely, 25480020224 is an apocalyptic number.

5480020224 is a gapful number since it is divisible by the number (54) 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 5480020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439355520).

5480020224 is an abundant number, since it is smaller than the sum of its proper divisors (13398690816).

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

5480020224 is a wasteful number, since it uses less digits than its factorization.

5480020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5480020224 is about 74027.1586919287. The cubic root of 5480020224 is about 1763.0341327255.

The spelling of 5480020224 in words is "five billion, four hundred eighty million, twenty thousand, two hundred twenty-four".