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2268011250 = 232544492
BaseRepresentation
bin1000011100101111…
…0001101011110010
312212001122220112200
42013023301223302
514121102330000
61013015204030
7110126530461
oct20713615362
95761586480
102268011250
11a6426246a
12533676616
132a1b54bbb
141773029d8
15d41a3500
hex872f1af2

2268011250 has 90 divisors (see below), whose sum is σ = 6154271409. Its totient is φ = 603456000.

The previous prime is 2268011219. The next prime is 2268011261. The reversal of 2268011250 is 521108622.

It is a happy number.

2268011250 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 66243321 + 2201767929 = 8139^2 + 46923^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33675.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 44 ways as a sum of consecutive naturals, for example, 5051026 + ... + 5051474.

Almost surely, 22268011250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268011250

2268011250 is an abundant number, since it is smaller than the sum of its proper divisors (3886260159).

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

2268011250 is an frugal number, since it uses more digits than its factorization.

2268011250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2268011250 is about 47623.6417129140. The cubic root of 2268011250 is about 1313.8579143433.

Adding to 2268011250 its reverse (521108622), we get a palindrome (2789119872).

It can be divided in two parts, 22680 and 11250, that added together give a triangular number (33930 = T260).

The spelling of 2268011250 in words is "two billion, two hundred sixty-eight million, eleven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 449 450 625 750 898 1125 1250 1347 1875 2245 2250 2694 3750 4041 4490 5625 6735 8082 11225 11250 13470 20205 22450 33675 40410 56125 67350 101025 112250 168375 201601 202050 280625 336750 403202 505125 561250 604803 841875 1008005 1010250 1209606 1683750 1814409 2016010 2525625 3024015 3628818 5040025 5051250 6048030 9072045 10080050 15120075 18144090 25200125 30240150 45360225 50400250 75600375 90720450 126000625 151200750 226801125 252001250 378001875 453602250 756003750 1134005625 2268011250