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2320331232 = 253591512713
BaseRepresentation
bin1000101001001101…
…0111000111100000
312222201010001001210
42022103113013200
514223001044412
61022124430120
7111333330042
oct21223270740
95881101053
102320331232
11a9084821a
125490a8340
132ac94327b
14180241a92
15d8a8a83c
hex8a4d71e0

2320331232 has 96 divisors (see below), whose sum is σ = 6237423360. Its totient is φ = 755020800.

The previous prime is 2320331231. The next prime is 2320331239. The reversal of 2320331232 is 2321330232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2320331199 and 2320331208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320331231) 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, 853908 + ... + 856620.

It is an arithmetic number, because the mean of its divisors is an integer number (64973160).

Almost surely, 22320331232 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 2320331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118711680).

2320331232 is an abundant number, since it is smaller than the sum of its proper divisors (3917092128).

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

2320331232 is a wasteful number, since it uses less digits than its factorization.

2320331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2320331232 is about 48169.8166074981. The cubic root of 2320331232 is about 1323.8841883227.

Adding to 2320331232 its reverse (2321330232), we get a palindrome (4641661464).

The spelling of 2320331232 in words is "two billion, three hundred twenty million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 151 177 236 302 354 453 472 604 708 906 944 1208 1416 1812 1888 2416 2713 2832 3624 4832 5426 5664 7248 8139 8909 10852 14496 16278 17818 21704 26727 32556 35636 43408 53454 65112 71272 86816 106908 130224 142544 160067 213816 260448 285088 320134 409663 427632 480201 640268 819326 855264 960402 1228989 1280536 1638652 1920804 2457978 2561072 3277304 3841608 4915956 5122144 6554608 7683216 9831912 13109216 15366432 19663824 24170117 39327648 48340234 72510351 96680468 145020702 193360936 290041404 386721872 580082808 773443744 1160165616 2320331232