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2255330304 = 2103427191
BaseRepresentation
bin1000011001101101…
…1001110000000000
312211011210122120000
42012123121300000
514104331032204
61011443320000
7106613664003
oct20633316000
95734718500
102255330304
11a58091047
1252b380000
1329c334c96
1417576153a
15d2eeb039
hex866d9c00

2255330304 has 110 divisors (see below), whose sum is σ = 6735104904. Its totient is φ = 751749120.

The previous prime is 2255330299. The next prime is 2255330323. The reversal of 2255330304 is 4030335522.

2255330304 is a `hidden beast` number, since 2 + 25 + 5 + 330 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69349 + ... + 96539.

Almost surely, 22255330304 is an apocalyptic number.

2255330304 is a gapful number since it is divisible by the number (24) 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 2255330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367552452).

2255330304 is an abundant number, since it is smaller than the sum of its proper divisors (4479774600).

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

2255330304 is an equidigital number, since it uses as much as digits as its factorization.

2255330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27223 (or 27196 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 2255330304 is about 47490.3180027256. The cubic root of 2255330304 is about 1311.4046475927.

Adding to 2255330304 its reverse (4030335522), we get a palindrome (6285665826).

The spelling of 2255330304 in words is "two billion, two hundred fifty-five million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27191 27648 41472 54382 81573 82944 108764 163146 217528 244719 326292 435056 489438 652584 734157 870112 978876 1305168 1468314 1740224 1957752 2202471 2610336 2936628 3480448 3915504 4404942 5220672 5873256 6960896 7831008 8809884 10441344 11746512 13921792 15662016 17619768 20882688 23493024 27843584 31324032 35239536 41765376 46986048 62648064 70479072 83530752 93972096 125296128 140958144 187944192 250592256 281916288 375888384 563832576 751776768 1127665152 2255330304