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2250005216 = 251741281359
BaseRepresentation
bin1000011000011100…
…0101101011100000
312210210210002220112
42012013011223200
514102000131331
61011133230452
7106520504654
oct20607055340
95723702815
102250005216
11a55084248
12529632428
1329b1bc244
14174b76a64
15d27e832b
hex861c5ae0

2250005216 has 96 divisors (see below), whose sum is σ = 4835194560. Its totient is φ = 1026457600.

The previous prime is 2250005209. The next prime is 2250005227. The reversal of 2250005216 is 6125000522.

It is a junction number, because it is equal to n+sod(n) for n = 2250005191 and 2250005200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6267245 + ... + 6267603.

It is an arithmetic number, because the mean of its divisors is an integer number (50366610).

Almost surely, 22250005216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417597280).

2250005216 is an abundant number, since it is smaller than the sum of its proper divisors (2585189344).

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

2250005216 is a wasteful number, since it uses less digits than its factorization.

2250005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2250005216 is about 47434.2198839614. The cubic root of 2250005216 is about 1310.3717096805.

Adding to 2250005216 its reverse (6125000522), we get a palindrome (8375005738).

The spelling of 2250005216 in words is "two billion, two hundred fifty million, five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 281 328 359 544 562 656 697 718 1124 1312 1394 1436 2248 2788 2872 4496 4777 5576 5744 6103 8992 9554 11152 11488 11521 12206 14719 19108 22304 23042 24412 29438 38216 46084 48824 58876 76432 92168 97648 100879 117752 152864 184336 195296 195857 201758 235504 250223 368672 391714 403516 471008 500446 783428 807032 1000892 1566856 1614064 1714943 2001784 3133712 3228128 3429886 4003568 4136039 6267424 6859772 8007136 8272078 13719544 16544156 27439088 33088312 54878176 66176624 70312663 132353248 140625326 281250652 562501304 1125002608 2250005216