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221310040 = 2357809977
BaseRepresentation
bin11010011000011…
…10110001011000
3120102102201022011
431030032301120
5423123410130
633543235304
75325050530
oct1514166130
9512381264
10221310040
11103a18566
1262148b34
1336b08ab3
142156c4c0
151466852a
hexd30ec58

221310040 has 64 divisors (see below), whose sum is σ = 570369600. Its totient is φ = 75706368.

The previous prime is 221310031. The next prime is 221310079. The reversal of 221310040 is 40013122.

221310040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221310040.

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 15 ways as a sum of consecutive naturals, for example, 226032 + ... + 227008.

It is an arithmetic number, because the mean of its divisors is an integer number (8912025).

Almost surely, 2221310040 is an apocalyptic number.

221310040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221310040 is an abundant number, since it is smaller than the sum of its proper divisors (349059560).

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

221310040 is a wasteful number, since it uses less digits than its factorization.

221310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 221310040 is about 14876.4928662639. The cubic root of 221310040 is about 604.8769551467.

Adding to 221310040 its reverse (40013122), we get a palindrome (261323162).

The spelling of 221310040 in words is "two hundred twenty-one million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 809 977 1618 1954 3236 3908 4045 4885 5663 6472 6839 7816 8090 9770 11326 13678 16180 19540 22652 27356 28315 32360 34195 39080 45304 54712 56630 68390 113260 136780 226520 273560 790393 1580786 3161572 3951965 5532751 6323144 7903930 11065502 15807860 22131004 27663755 31615720 44262008 55327510 110655020 221310040