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5517222480 = 24325711283109
BaseRepresentation
bin1010010001101101…
…00010001001010000
3112020111121221102100
411020312202021100
542244402104410
62311245120400
7253502421510
oct51066421120
915214557370
105517222480
112381367a00
12109b859100
1369c063ab3
143a4a5b840
152245728c0
hex148da2250

5517222480 has 720 divisors, whose sum is σ = 23772228480. Its totient is φ = 1122232320.

The previous prime is 5517222463. The next prime is 5517222509. The reversal of 5517222480 is 842227155.

It is a happy number.

5517222480 is a `hidden beast` number, since 5 + 5 + 172 + 2 + 2 + 480 = 666.

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, 50616666 + ... + 50616774.

It is an arithmetic number, because the mean of its divisors is an integer number (33016984).

Almost surely, 25517222480 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 5517222480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886114240).

5517222480 is an abundant number, since it is smaller than the sum of its proper divisors (18255006000).

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

5517222480 is a wasteful number, since it uses less digits than its factorization.

5517222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5517222480 is about 74278.0080508356. The cubic root of 5517222480 is about 1767.0147131215.

The spelling of 5517222480 in words is "five billion, five hundred seventeen million, two hundred twenty-two thousand, four hundred eighty".