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232223020032 = 2103197383723
BaseRepresentation
bin1101100001000110010…
…0100001010000000000
3211012102000120201001210
43120101210201100000
512301043043120112
6254403133130120
722530463046553
oct3302144412000
9735360521053
10232223020032
118a537928073
123900b029940
1318b8b115833
14b34d87a69a
156092315b3c
hex3611921400

232223020032 has 88 divisors (see below), whose sum is σ = 622102558176. Its totient is φ = 77014540288.

The previous prime is 232223019997. The next prime is 232223020039. The reversal of 232223020032 is 230020322232.

It is a junction number, because it is equal to n+sod(n) for n = 232223019990 and 232223020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232223020039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413323 + ... + 797045.

It is an arithmetic number, because the mean of its divisors is an integer number (7069347252).

Almost surely, 2232223020032 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 232223020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311051279088).

232223020032 is an abundant number, since it is smaller than the sum of its proper divisors (389879538144).

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

232223020032 is a wasteful number, since it uses less digits than its factorization.

232223020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383943 (or 383925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 232223020032 its reverse (230020322232), we get a palindrome (462243342264).

The spelling of 232223020032 in words is "two hundred thirty-two billion, two hundred twenty-three million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 512 591 768 788 1024 1182 1536 1576 2364 3072 3152 4728 6304 9456 12608 18912 25216 37824 50432 75648 100864 151296 201728 302592 383723 605184 767446 1151169 1534892 2302338 3069784 4604676 6139568 9209352 12279136 18418704 24558272 36837408 49116544 73674816 75593431 98233088 147349632 151186862 196466176 226780293 294699264 302373724 392932352 453560586 589398528 604747448 907121172 1178797056 1209494896 1814242344 2418989792 3628484688 4837979584 7256969376 9675959168 14513938752 19351918336 29027877504 38703836672 58055755008 77407673344 116111510016 232223020032