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221040320 = 2652923819
BaseRepresentation
bin11010010110011…
…00111011000000
3120101221000022112
431023030323000
5423041242240
633533354452
75322545264
oct1513147300
9511830275
10221040320
11103853956
1262038a28
1336a430b7
14214dc0a4
1514613665
hexd2ccec0

221040320 has 56 divisors (see below), whose sum is σ = 544525200. Its totient is φ = 85363712.

The previous prime is 221040301. The next prime is 221040353. The reversal of 221040320 is 23040122.

221040320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221040295 and 221040304.

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 7 ways as a sum of consecutive naturals, for example, 2630 + ... + 21189.

Almost surely, 2221040320 is an apocalyptic number.

221040320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221040320 is an abundant number, since it is smaller than the sum of its proper divisors (323484880).

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

221040320 is a wasteful number, since it uses less digits than its factorization.

221040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221040320 is about 14867.4247938236. The cubic root of 221040320 is about 604.6311254568.

Adding to 221040320 its reverse (23040122), we get a palindrome (244080442).

The spelling of 221040320 in words is "two hundred twenty-one million, forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 23819 47638 95276 119095 190552 238190 381104 476380 690751 762208 952760 1381502 1524416 1905520 2763004 3453755 3811040 5526008 6907510 7622080 11052016 13815020 22104032 27630040 44208064 55260080 110520160 221040320