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23332443232 = 2571929189043
BaseRepresentation
bin10101101110101110…
…001101010001100000
32020020002002220222011
4111232232031101200
5340241101140412
614415131122304
71454125331560
oct255656152140
966202086864
1023332443232
119993612a3a
124631ba3394
13227ac09037
1411b4b08da0
159185cb7a7
hex56eb8d460

23332443232 has 96 divisors (see below), whose sum is σ = 57166905600. Its totient is φ = 9146608128.

The previous prime is 23332443227. The next prime is 23332443283. The reversal of 23332443232 is 23234423332.

It is a junction number, because it is equal to n+sod(n) for n = 23332443194 and 23332443203.

It is a congruent number.

It is an unprimeable number.

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, 28903 + ... + 217945.

It is an arithmetic number, because the mean of its divisors is an integer number (595488600).

Almost surely, 223332443232 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 23332443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28583452800).

23332443232 is an abundant number, since it is smaller than the sum of its proper divisors (33834462368).

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

23332443232 is a wasteful number, since it uses less digits than its factorization.

23332443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189108 (or 189100 counting only the distinct ones).

The product of its digits is 62208, while the sum is 31.

Adding to 23332443232 its reverse (23234423332), we get a palindrome (46566866564).

The spelling of 23332443232 in words is "twenty-three billion, three hundred thirty-two million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 406 464 532 551 608 812 928 1064 1102 1624 2128 2204 3248 3857 4256 4408 6496 7714 8816 15428 17632 30856 61712 123424 189043 378086 756172 1323301 1512344 2646602 3024688 3591817 5293204 5482247 6049376 7183634 10586408 10964494 14367268 21172816 21928988 25142719 28734536 38375729 42345632 43857976 50285438 57469072 76751458 87715952 100570876 104162693 114938144 153502916 175431904 201141752 208325386 307005832 402283504 416650772 614011664 729138851 804567008 833301544 1228023328 1458277702 1666603088 2916555404 3333206176 5833110808 11666221616 23332443232