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2325991248 = 243371940483
BaseRepresentation
bin1000101010100011…
…1100111101010000
320000002202121011000
42022220330331100
514230423204443
61022450022000
7111432412410
oct21250747520
96002677130
102325991248
11a93a63719
1254ab77900
132b0b755a9
14180cb6640
15d93078d3
hex8aa3cf50

2325991248 has 160 divisors (see below), whose sum is σ = 8032025600. Its totient is φ = 629576064.

The previous prime is 2325991207. The next prime is 2325991249. The reversal of 2325991248 is 8421995232.

2325991248 is a `hidden beast` number, since 2 + 3 + 2 + 599 + 12 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325991249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37215 + ... + 77697.

It is an arithmetic number, because the mean of its divisors is an integer number (50200160).

Almost surely, 22325991248 is an apocalyptic number.

2325991248 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 2325991248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016012800).

2325991248 is an abundant number, since it is smaller than the sum of its proper divisors (5706034352).

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

2325991248 is a wasteful number, since it uses less digits than its factorization.

2325991248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40526 (or 40514 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2325991248 is about 48228.5314725630. The cubic root of 2325991248 is about 1324.9597705598.

The spelling of 2325991248 in words is "two billion, three hundred twenty-five million, nine hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 40483 57456 80966 121449 161932 242898 283381 323864 364347 485796 566762 647728 728694 769177 850143 971592 1093041 1133524 1457388 1538354 1700286 1943184 2186082 2267048 2307531 2550429 2914776 3076708 3400572 4372164 4534096 4615062 5100858 5384239 5829552 6153416 6801144 6922593 7651287 8744328 9230124 10201716 10768478 12306832 13602288 13845186 15302574 16152717 17488656 18460248 20403432 20767779 21536956 27690372 30605148 32305434 36920496 40806864 41535558 43073912 48458151 55380744 61210296 64610868 83071116 86147824 96916302 110761488 122420592 129221736 145374453 166142232 193832604 258443472 290748906 332284464 387665208 581497812 775330416 1162995624 2325991248