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2323231232 = 29719109313
BaseRepresentation
bin1000101001111001…
…1011001000000000
312222220120101010012
42022132123020000
514224221344412
61022310524052
7111400065620
oct21236331000
95886511105
102323231232
11a92449013
1254a066628
132b041a24a
14180798880
15d8e5ec22
hex8a79b200

2323231232 has 160 divisors (see below), whose sum is σ = 5653507200. Its totient is φ = 931627008.

The previous prime is 2323231181. The next prime is 2323231241. The reversal of 2323231232 is 2321323232.

It is a junction number, because it is equal to n+sod(n) for n = 2323231198 and 2323231207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7422308 + ... + 7422620.

It is an arithmetic number, because the mean of its divisors is an integer number (35334420).

Almost surely, 22323231232 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 2323231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826753600).

2323231232 is an abundant number, since it is smaller than the sum of its proper divisors (3330275968).

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

2323231232 is a wasteful number, since it uses less digits than its factorization.

2323231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its digits is 2592, while the sum is 23.

The square root of 2323231232 is about 48199.9090455573. The cubic root of 2323231232 is about 1324.4354983739.

Adding to 2323231232 its reverse (2321323232), we get a palindrome (4644554464).

The spelling of 2323231232 in words is "two billion, three hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 109 112 128 133 152 218 224 256 266 304 313 436 448 512 532 608 626 763 872 896 1064 1216 1252 1526 1744 1792 2071 2128 2191 2432 2504 3052 3488 3584 4142 4256 4382 4864 5008 5947 6104 6976 8284 8512 8764 9728 10016 11894 12208 13952 14497 16568 17024 17528 20032 23788 24416 27904 28994 33136 34048 34117 35056 40064 41629 47576 48832 55808 57988 66272 68096 68234 70112 80128 83258 95152 97664 115976 132544 136468 140224 160256 166516 190304 195328 231952 238819 265088 272936 280448 333032 380608 390656 463904 477638 530176 545872 560896 648223 666064 761216 927808 955276 1060352 1091744 1121792 1296446 1332128 1522432 1855616 1910552 2183488 2592892 2664256 3044864 3711232 3821104 4366976 4537561 5185784 5328512 7422464 7642208 8733952 9075122 10371568 10657024 15284416 17467904 18150244 20743136 21314048 30568832 36300488 41486272 61137664 72600976 82972544 122275328 145201952 165945088 290403904 331890176 580807808 1161615616 2323231232