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220411120 = 24517433769
BaseRepresentation
bin11010010001100…
…11010011110000
3120100202001012211
431020303103300
5422411123440
633512101504
75314315006
oct1510632360
9510661184
10220411120
11103464156
1261994894
13368828a7
14213b6a76
151453beea
hexd2334f0

220411120 has 80 divisors (see below), whose sum is σ = 555366240. Its totient is φ = 81027072.

The previous prime is 220411099. The next prime is 220411127. The reversal of 220411120 is 21114022.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220411120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220411127) 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, 56596 + ... + 60364.

It is an arithmetic number, because the mean of its divisors is an integer number (6942078).

Almost surely, 2220411120 is an apocalyptic number.

220411120 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 220411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277683120).

220411120 is an abundant number, since it is smaller than the sum of its proper divisors (334955120).

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

220411120 is a wasteful number, since it uses less digits than its factorization.

220411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 220411120 is about 14846.2493580028. The cubic root of 220411120 is about 604.0568781137.

Adding to 220411120 its reverse (21114022), we get a palindrome (241525142).

The spelling of 220411120 in words is "two hundred twenty million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 3769 5848 7310 7538 11696 14620 15076 18845 29240 30152 37690 58480 60304 64073 75380 128146 150760 162067 256292 301520 320365 324134 512584 640730 648268 810335 1025168 1281460 1296536 1620670 2562920 2593072 2755139 3241340 5125840 5510278 6482680 11020556 12965360 13775695 22041112 27551390 44082224 55102780 110205560 220411120