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221042340 = 223251228013
BaseRepresentation
bin11010010110011…
…01011010100100
3120101221010002100
431023031122210
5423041323330
633533412100
75322554211
oct1513153244
9511833070
10221042340
11103855422
126203a030
1336a43cac
14214dcb08
1514614060
hexd2cd6a4

221042340 has 36 divisors (see below), whose sum is σ = 670495644. Its totient is φ = 58944576.

The previous prime is 221042309. The next prime is 221042377. The reversal of 221042340 is 43240122.

221042340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 154554624 = 8154^2 + 12432^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613827 + ... + 614186.

It is an arithmetic number, because the mean of its divisors is an integer number (18624879).

Almost surely, 2221042340 is an apocalyptic number.

221042340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221042340 is an abundant number, since it is smaller than the sum of its proper divisors (449453304).

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

221042340 is a wasteful number, since it uses less digits than its factorization.

221042340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228028 (or 1228023 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221042340 is about 14867.4927274238. The cubic root of 221042340 is about 604.6329672794.

Adding to 221042340 its reverse (43240122), we get a palindrome (264282462).

The spelling of 221042340 in words is "two hundred twenty-one million, forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1228013 2456026 3684039 4912052 6140065 7368078 11052117 12280130 14736156 18420195 22104234 24560260 36840390 44208468 55260585 73680780 110521170 221042340