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232023120032 = 25113770925127
BaseRepresentation
bin1101100000010110100…
…1111101100010100000
3211011220002102201211002
43120011221331202200
512300140404320112
6254331232411132
722522514656664
oct3300551754240
9734802381732
10232023120032
118a445003260
1238b740a6aa8
1318b58894c02
14b3310c28a4
15607e9cb1c2
hex3605a7d8a0

232023120032 has 96 divisors (see below), whose sum is σ = 512532800640. Its totient is φ = 102465838080.

The previous prime is 232023120031. The next prime is 232023120037. The reversal of 232023120032 is 230021320232.

232023120032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232023119986 and 232023120013.

It is not an unprimeable number, because it can be changed into a prime (232023120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9221453 + ... + 9246579.

It is an arithmetic number, because the mean of its divisors is an integer number (5338883340).

Almost surely, 2232023120032 is an apocalyptic number.

232023120032 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 232023120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256266400320).

232023120032 is an abundant number, since it is smaller than the sum of its proper divisors (280509680608).

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

232023120032 is a wasteful number, since it uses less digits than its factorization.

232023120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25894 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232023120032 its reverse (230021320232), we get a palindrome (462044440264).

The spelling of 232023120032 in words is "two hundred thirty-two billion, twenty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 709 814 1184 1418 1628 2836 3256 5672 6512 7799 11344 13024 15598 22688 25127 26233 31196 50254 52466 62392 100508 104932 124784 201016 209864 249568 276397 288563 402032 419728 552794 577126 804064 839456 929699 1105588 1154252 1859398 2211176 2308504 3718796 4422352 4617008 7437592 8844704 9234016 10226689 14875184 17815043 20453378 29750368 35630086 40906756 71260172 81813512 142520344 163627024 195965473 285040688 327254048 391930946 570081376 659156591 783861892 1318313182 1567723784 2636626364 3135447568 5273252728 6270895136 7250722501 10546505456 14501445002 21093010912 29002890004 58005780008 116011560016 232023120032