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11200220000 = 25541035437
BaseRepresentation
bin10100110111001010…
…11100101101100000
31001220120012010102222
422123211130231200
5140414224020000
65051215330212
7544360204424
oct123345345540
931816163388
1011200220000
114828261072
122206b20968
13109655ab18
1478370cb84
1545843da85
hex29b95cb60

11200220000 has 120 divisors (see below), whose sum is σ = 27826855056. Its totient is φ = 4435776000.

The previous prime is 11200219999. The next prime is 11200220033. The reversal of 11200220000 is 2200211.

11200220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11200220000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2057282 + ... + 2062718.

Almost surely, 211200220000 is an apocalyptic number.

11200220000 is a gapful number since it is divisible by the number (10) 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 11200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913427528).

11200220000 is an abundant number, since it is smaller than the sum of its proper divisors (16626635056).

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

11200220000 is an equidigital number, since it uses as much as digits as its factorization.

11200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 11200220000 its reverse (2200211), we get a palindrome (11202420211).

The spelling of 11200220000 in words is "eleven billion, two hundred million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 125 160 200 206 250 400 412 500 515 625 800 824 1000 1030 1250 1648 2000 2060 2500 2575 3296 4000 4120 5000 5150 5437 8240 10000 10300 10874 12875 16480 20000 20600 21748 25750 27185 41200 43496 51500 54370 64375 82400 86992 103000 108740 128750 135925 173984 206000 217480 257500 271850 412000 434960 515000 543700 560011 679625 869920 1030000 1087400 1120022 1359250 2060000 2174800 2240044 2718500 2800055 3398125 4349600 4480088 5437000 5600110 6796250 8960176 10874000 11200220 13592500 14000275 17920352 21748000 22400440 27185000 28000550 44800880 54370000 56001100 70001375 89601760 108740000 112002200 140002750 224004400 280005500 350006875 448008800 560011000 700013750 1120022000 1400027500 2240044000 2800055000 5600110000 11200220000