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2300009088 = 273134311069
BaseRepresentation
bin1000100100010111…
…0101101010000000
312221021212120022210
42021011311222000
514202300242323
61020121102120
7110665516566
oct21105655200
95837776283
102300009088
11a80327963
12542327940
132a8679330
1417b671a36
15d6dc4293
hex89175a80

2300009088 has 128 divisors (see below), whose sum is σ = 6600787200. Its totient is φ = 705392640.

The previous prime is 2300009083. The next prime is 2300009093. The reversal of 2300009088 is 8809000032.

It is an interprime number because it is at equal distance from previous prime (2300009083) and next prime (2300009093).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2300009083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151018 + ... + 2152086.

It is an arithmetic number, because the mean of its divisors is an integer number (51568650).

Almost surely, 22300009088 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 2300009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300393600).

2300009088 is an abundant number, since it is smaller than the sum of its proper divisors (4300778112).

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

2300009088 is a wasteful number, since it uses less digits than its factorization.

2300009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2300009088 is about 47958.4099819833. The cubic root of 2300009088 is about 1320.0078603756.

The spelling of 2300009088 in words is "two billion, three hundred million, nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 431 624 832 862 1069 1248 1293 1664 1724 2138 2496 2586 3207 3448 4276 4992 5172 5603 6414 6896 8552 10344 11206 12828 13792 13897 16809 17104 20688 22412 25656 27584 27794 33618 34208 41376 41691 44824 51312 55168 55588 67236 68416 82752 83382 89648 102624 111176 134472 136832 165504 166764 179296 205248 222352 268944 333528 358592 410496 444704 460739 537888 667056 717184 889408 921478 1075776 1334112 1382217 1778816 1842956 2151552 2668224 2764434 3685912 5336448 5528868 5989607 7371824 11057736 11979214 14743648 17968821 22115472 23958428 29487296 35937642 44230944 47916856 58974592 71875284 88461888 95833712 143750568 176923776 191667424 287501136 383334848 575002272 766669696 1150004544 2300009088