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5582224980 = 2232531012361
BaseRepresentation
bin1010011001011100…
…11111111001010100
3112102000221102002100
411030232133321110
542413022144410
62321530242100
7255222062253
oct51456377124
915360842070
105582224980
112405025282
1210b9586330
136ac672a07
143ad53c79a
1522a1128c0
hex14cb9fe54

5582224980 has 36 divisors (see below), whose sum is σ = 16932749652. Its totient is φ = 1488593280.

The previous prime is 5582224943. The next prime is 5582224987. The reversal of 5582224980 is 894222855.

5582224980 is a `hidden beast` number, since 5 + 582 + 22 + 49 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3038434884 + 2543790096 = 55122^2 + 50436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×55822249802 = 62322471454672000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5582224987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15506001 + ... + 15506360.

It is an arithmetic number, because the mean of its divisors is an integer number (470354157).

Almost surely, 25582224980 is an apocalyptic number.

It is an amenable number.

5582224980 is an abundant number, since it is smaller than the sum of its proper divisors (11350524672).

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

5582224980 is a wasteful number, since it uses less digits than its factorization.

5582224980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31012376 (or 31012371 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5582224980 is about 74714.2889948101. The cubic root of 5582224980 is about 1773.9271416546.

The spelling of 5582224980 in words is "five billion, five hundred eighty-two million, two hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 31012361 62024722 93037083 124049444 155061805 186074166 279111249 310123610 372148332 465185415 558222498 620247220 930370830 1116444996 1395556245 1860741660 2791112490 5582224980