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2238048288 = 253276131811
BaseRepresentation
bin1000010101100101…
…1110100000100000
312202222021122002100
42011121132200200
514040420021123
61010025050400
7106314045060
oct20531364040
95688248070
102238048288
11a49357893
12525626a00
13298893a38
141733433a0
15d1735643
hex8565e820

2238048288 has 144 divisors (see below), whose sum is σ = 7289545536. Its totient is φ = 638046720.

The previous prime is 2238048287. The next prime is 2238048289. The reversal of 2238048288 is 8828408322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2238048287) and next prime (2238048289).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2238048287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234903 + ... + 1236713.

It is an arithmetic number, because the mean of its divisors is an integer number (50621844).

Almost surely, 22238048288 is an apocalyptic number.

2238048288 is a gapful number since it is divisible by the number (28) 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 2238048288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644772768).

2238048288 is an abundant number, since it is smaller than the sum of its proper divisors (5051497248).

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

2238048288 is a wasteful number, since it uses less digits than its factorization.

2238048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 2238048288 is about 47308.0150503062. The cubic root of 2238048288 is about 1308.0464029774.

The spelling of 2238048288 in words is "two billion, two hundred thirty-eight million, forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 613 672 1008 1226 1811 1839 2016 2452 3622 3678 4291 4904 5433 5517 7244 7356 8582 9808 10866 11034 12677 12873 14488 14712 16299 17164 19616 21732 22068 25354 25746 28976 29424 32598 34328 38031 38619 43464 44136 50708 51492 57952 58848 65196 68656 76062 77238 86928 88272 101416 102984 114093 130392 137312 152124 154476 173856 176544 202832 205968 228186 260784 304248 308952 405664 411936 456372 521568 608496 617904 912744 1110143 1216992 1235808 1825488 2220286 3330429 3650976 4440572 6660858 7771001 8881144 9991287 13321716 15542002 17762288 19982574 23313003 26643432 31084004 35524576 39965148 46626006 53286864 62168008 69939009 79930296 93252012 106573728 124336016 139878018 159860592 186504024 248672032 279756036 319721184 373008048 559512072 746016096 1119024144 2238048288