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221531540 = 22511076577
BaseRepresentation
bin11010011010001…
…00110110010100
3120102211222010212
431031010312110
5423203002130
633552104552
75326662356
oct1515046624
9512758125
10221531540
11104059a1a
1262235158
1336b85869
14215c90d6
15146ade95
hexd344d94

221531540 has 12 divisors (see below), whose sum is σ = 465216276. Its totient is φ = 88612608.

The previous prime is 221531533. The next prime is 221531587. The reversal of 221531540 is 45135122.

It can be written as a sum of positive squares in 2 ways, for example, as 25867396 + 195664144 = 5086^2 + 13988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5538269 + ... + 5538308.

It is an arithmetic number, because the mean of its divisors is an integer number (38768023).

Almost surely, 2221531540 is an apocalyptic number.

221531540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221531540 is an abundant number, since it is smaller than the sum of its proper divisors (243684736).

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

221531540 is a wasteful number, since it uses less digits than its factorization.

221531540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076586 (or 11076584 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 221531540 is about 14883.9356354427. The cubic root of 221531540 is about 605.0786865759.

Adding to 221531540 its reverse (45135122), we get a palindrome (266666662).

The spelling of 221531540 in words is "two hundred twenty-one million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 11076577 22153154 44306308 55382885 110765770 221531540