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221036040 = 23345174013
BaseRepresentation
bin11010010110010…
…11111000001000
3120101220210110000
431023023320020
5423041123130
633533323000
75322526641
oct1513137010
9511823400
10221036040
11103850715
1262036460
1336a41174
14214da6c8
1514612260
hexd2cbe08

221036040 has 160 divisors (see below), whose sum is σ = 786824280. Its totient is φ = 55461888.

The previous prime is 221036021. The next prime is 221036051. The reversal of 221036040 is 40630122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 217326564 + 3709476 = 14742^2 + 1926^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 53074 + ... + 57086.

Almost surely, 2221036040 is an apocalyptic number.

221036040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221036040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393412140).

221036040 is an abundant number, since it is smaller than the sum of its proper divisors (565788240).

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

221036040 is a wasteful number, since it uses less digits than its factorization.

221036040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4040 counting only the distinct ones).

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

The square root of 221036040 is about 14867.2808542786. The cubic root of 221036040 is about 604.6272229442.

Adding to 221036040 its reverse (40630122), we get a palindrome (261666162).

The spelling of 221036040 in words is "two hundred twenty-one million, thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4013 4590 5508 6120 6885 8026 9180 11016 12039 13770 16052 18360 20065 24078 27540 32104 36117 40130 48156 55080 60195 68221 72234 80260 96312 108351 120390 136442 144468 160520 180585 204663 216702 240780 272884 288936 325053 341105 361170 409326 433404 481560 541755 545768 613989 650106 682210 722340 818652 866808 1023315 1083510 1227978 1300212 1364420 1444680 1625265 1637304 1841967 2046630 2167020 2455956 2600424 2728840 3069945 3250530 3683934 4093260 4334040 4911912 5525901 6139890 6501060 7367868 8186520 9209835 11051802 12279780 13002120 14735736 18419670 22103604 24559560 27629505 36839340 44207208 55259010 73678680 110518020 221036040