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2323033152 = 263117571453
BaseRepresentation
bin1000101001110110…
…1010110001000000
312222220012022101220
42022131222301000
514224144030102
61022302355040
7111365312256
oct21235526100
95886168356
102323033152
11a92323210
12549b8ba80
132b037b03b
141807465d6
15d8e211bc
hex8a76ac40

2323033152 has 112 divisors (see below), whose sum is σ = 6718596672. Its totient is φ = 702535680.

The previous prime is 2323033151. The next prime is 2323033169. The reversal of 2323033152 is 2513303232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2323033151) 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, 1598058 + ... + 1599510.

Almost surely, 22323033152 is an apocalyptic number.

2323033152 is a gapful number since it is divisible by the number (22) 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 2323033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359298336).

2323033152 is an abundant number, since it is smaller than the sum of its proper divisors (4395563520).

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

2323033152 is a wasteful number, since it uses less digits than its factorization.

2323033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2323033152 is about 48197.8542260960. The cubic root of 2323033152 is about 1324.3978565992.

Adding to 2323033152 its reverse (2513303232), we get a palindrome (4836336384).

The spelling of 2323033152 in words is "two billion, three hundred twenty-three million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 757 1056 1453 1514 2112 2271 2906 3028 4359 4542 5812 6056 8327 8718 9084 11624 12112 15983 16654 17436 18168 23248 24224 24981 31966 33308 34872 36336 46496 47949 48448 49962 63932 66616 69744 72672 92992 95898 99924 127864 133232 139488 145344 191796 199848 255728 266464 278976 383592 399696 511456 532928 767184 799392 1022912 1099921 1534368 1598784 2199842 3068736 3299763 4399684 6599526 8799368 12099131 13199052 17598736 24198262 26398104 35197472 36297393 48396524 52796208 70394944 72594786 96793048 105592416 145189572 193586096 211184832 290379144 387172192 580758288 774344384 1161516576 2323033152