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2323253680 = 245113771353
BaseRepresentation
bin1000101001111010…
…0000100110110000
312222220121111220121
42022132200212300
514224223104210
61022311220024
7111400221226
oct21236404660
95886544817
102323253680
11a92463970
1254a077614
132b0427527
141807a2b16
15d8e666da
hex8a7a09b0

2323253680 has 80 divisors (see below), whose sum is σ = 6051960864. Its totient is φ = 821975040.

The previous prime is 2323253627. The next prime is 2323253687. The reversal of 2323253680 is 863523232.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2323253687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117 + ... + 68236.

Almost surely, 22323253680 is an apocalyptic number.

2323253680 is a gapful number since it is divisible by the number (20) 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 2323253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025980432).

2323253680 is an abundant number, since it is smaller than the sum of its proper divisors (3728707184).

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

2323253680 is a wasteful number, since it uses less digits than its factorization.

2323253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71414 (or 71408 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2323253680 is about 48200.1419085048. The cubic root of 2323253680 is about 1324.4397641040.

The spelling of 2323253680 in words is "two billion, three hundred twenty-three million, two hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 32560 71353 142706 285412 356765 570824 713530 784883 1141648 1427060 1569766 2640061 2854120 3139532 3924415 5280122 5708240 6279064 7848830 10560244 12558128 13200305 15697660 21120488 26400610 29040671 31395320 42240976 52801220 58081342 62790640 105602440 116162684 145203355 211204880 232325368 290406710 464650736 580813420 1161626840 2323253680