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221030640 = 24335102329
BaseRepresentation
bin11010010110010…
…10100011110000
3120101220112001000
431023022203300
5423040440030
633533242000
75322505125
oct1513124360
9511815030
10221030640
11103847656
1262033300
1336a3b87c
14214d874c
1514610860
hexd2ca8f0

221030640 has 80 divisors (see below), whose sum is σ = 761335200. Its totient is φ = 58940928.

The previous prime is 221030639. The next prime is 221030647. The reversal of 221030640 is 46030122.

It is a happy number.

221030640 is a `hidden beast` number, since 2 + 21 + 0 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221030647) by changing a digit.

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, 49005 + ... + 53324.

It is an arithmetic number, because the mean of its divisors is an integer number (9516690).

Almost surely, 2221030640 is an apocalyptic number.

221030640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221030640 is an abundant number, since it is smaller than the sum of its proper divisors (540304560).

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

221030640 is a wasteful number, since it uses less digits than its factorization.

221030640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102351 (or 102339 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 221030640 is about 14867.0992463224. The cubic root of 221030640 is about 604.6222991414.

Adding to 221030640 its reverse (46030122), we get a palindrome (267060762).

The spelling of 221030640 in words is "two hundred twenty-one million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 102329 204658 306987 409316 511645 613974 818632 920961 1023290 1227948 1534935 1637264 1841922 2046580 2455896 2762883 3069870 3683844 4093160 4604805 4911792 5525766 6139740 7367688 8186320 9209610 11051532 12279480 13814415 14735376 18419220 22103064 24558960 27628830 36838440 44206128 55257660 73676880 110515320 221030640