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2330011296 = 253217677103
BaseRepresentation
bin1000101011100001…
…0010011010100000
320000101022211121200
42022320102122200
514232440330141
61023112121200
7111511524564
oct21270223240
96011284550
102330011296
11a96259a78
12550396200
132b1952312
141816416a4
15d984dab6
hex8ae126a0

2330011296 has 144 divisors (see below), whose sum is σ = 7121447424. Its totient is φ = 719972352.

The previous prime is 2330011259. The next prime is 2330011337. The reversal of 2330011296 is 6921100332.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324481 + ... + 331583.

It is an arithmetic number, because the mean of its divisors is an integer number (49454496).

Almost surely, 22330011296 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 2330011296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560723712).

2330011296 is an abundant number, since it is smaller than the sum of its proper divisors (4791436128).

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

2330011296 is a wasteful number, since it uses less digits than its factorization.

2330011296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2330011296 is about 48270.1905527625. The cubic root of 2330011296 is about 1325.7226476420.

It can be divided in two parts, 23300 and 11296, that added together give a square (34596 = 1862).

The spelling of 2330011296 in words is "two billion, three hundred thirty million, eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 67 68 72 96 102 134 136 144 153 201 204 268 272 288 306 402 408 536 544 603 612 804 816 1072 1139 1206 1224 1608 1632 2144 2278 2412 2448 3216 3417 4556 4824 4896 6432 6834 7103 9112 9648 10251 13668 14206 18224 19296 20502 21309 27336 28412 36448 41004 42618 54672 56824 63927 82008 85236 109344 113648 120751 127854 164016 170472 227296 241502 255708 328032 340944 362253 475901 483004 511416 681888 724506 951802 966008 1022832 1086759 1427703 1449012 1903604 1932016 2045664 2173518 2855406 2898024 3807208 3864032 4283109 4347036 5710812 5796048 7614416 8090317 8566218 8694072 11421624 11592096 15228832 16180634 17132436 17388144 22843248 24270951 32361268 34264872 34776288 45686496 48541902 64722536 68529744 72812853 97083804 129445072 137059488 145625706 194167608 258890144 291251412 388335216 582502824 776670432 1165005648 2330011296