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5532005200 = 245229592137
BaseRepresentation
bin1010010011011101…
…11011001101010000
3112021112102222111111
411021232323031100
542312143131300
62312534023104
7254042161021
oct51156731520
915245388444
105532005200
112389744427
1210a47a7a94
136a213b577
143a69c8c48
152259e29ba
hex149bbb350

5532005200 has 180 divisors, whose sum is σ = 14088010140. Its totient is φ = 2084956160.

The previous prime is 5532005197. The next prime is 5532005231. The reversal of 5532005200 is 25002355.

It can be written as a sum of positive squares in 6 ways, for example, as 40602384 + 5491402816 = 6372^2 + 74104^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40379532 + ... + 40379668.

It is an arithmetic number, because the mean of its divisors is an integer number (78266723).

Almost surely, 25532005200 is an apocalyptic number.

5532005200 is a gapful number since it is divisible by the number (50) 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 5532005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044005070).

5532005200 is an abundant number, since it is smaller than the sum of its proper divisors (8556004940).

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

5532005200 is a wasteful number, since it uses less digits than its factorization.

5532005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 5532005200 is about 74377.4508839877. The cubic root of 5532005200 is about 1768.5914720136.

Adding to 5532005200 its reverse (25002355), we get a palindrome (5557007555).

The spelling of 5532005200 in words is "five billion, five hundred thirty-two million, five thousand, two hundred".