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2228647800 = 233526755439
BaseRepresentation
bin1000010011010110…
…0111011101111000
312202022121001001010
42010311213131320
514031013212200
61005051353520
7106141123311
oct20465473570
95668531033
102228647800
11a44017095
125224528a0
13296952012
14171db7608
15d09ca150
hex84d67778

2228647800 has 96 divisors (see below), whose sum is σ = 7012051200. Its totient is φ = 585425280.

The previous prime is 2228647781. The next prime is 2228647823. The reversal of 2228647800 is 87468222.

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 23 ways as a sum of consecutive naturals, for example, 12481 + ... + 67919.

It is an arithmetic number, because the mean of its divisors is an integer number (73042200).

Almost surely, 22228647800 is an apocalyptic number.

2228647800 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 2228647800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506025600).

2228647800 is an abundant number, since it is smaller than the sum of its proper divisors (4783403400).

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

2228647800 is a wasteful number, since it uses less digits than its factorization.

2228647800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55525 (or 55516 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2228647800 is about 47208.5564278341. The cubic root of 2228647800 is about 1306.2124343798.

The spelling of 2228647800 in words is "two billion, two hundred twenty-eight million, six hundred forty-seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 6700 8040 10050 13400 20100 40200 55439 110878 166317 221756 277195 332634 443512 554390 665268 831585 1108780 1330536 1385975 1663170 2217560 2771950 3326340 3714413 4157925 5543900 6652680 7428826 8315850 11087800 11143239 14857652 16631700 18572065 22286478 29715304 33263400 37144130 44572956 55716195 74288260 89145912 92860325 111432390 148576520 185720650 222864780 278580975 371441300 445729560 557161950 742882600 1114323900 2228647800