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23212322320 = 2451149952861
BaseRepresentation
bin10101100111100011…
…111110111000010000
32012220201002011001111
4111213203332320100
5340014323303240
614355200343104
71451136325045
oct254743767020
965821064044
1023212322320
119931829360
1245b9914a94
13225c06c085
1411a2b9b1cc
1590cca01ea
hex5678fee10

23212322320 has 80 divisors (see below), whose sum is σ = 58993992000. Its totient is φ = 8423769600.

The previous prime is 23212322293. The next prime is 23212322327. The reversal of 23212322320 is 2322321232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23212322291 and 23212322300.

It is not an unprimeable number, because it can be changed into a prime (23212322327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412690 + ... + 465550.

It is an arithmetic number, because the mean of its divisors is an integer number (737424900).

Almost surely, 223212322320 is an apocalyptic number.

23212322320 is a gapful number since it is divisible by the number (20) 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 23212322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29496996000).

23212322320 is an abundant number, since it is smaller than the sum of its proper divisors (35781669680).

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

23212322320 is a wasteful number, since it uses less digits than its factorization.

23212322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53384 (or 53378 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 23212322320 its reverse (2322321232), we get a palindrome (25534643552).

The spelling of 23212322320 in words is "twenty-three billion, two hundred twelve million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 499 880 998 1996 2495 3992 4990 5489 7984 9980 10978 19960 21956 27445 39920 43912 52861 54890 87824 105722 109780 211444 219560 264305 422888 439120 528610 581471 845776 1057220 1162942 2114440 2325884 2907355 4228880 4651768 5814710 9303536 11629420 23258840 26377639 46517680 52755278 105510556 131888195 211021112 263776390 290154029 422042224 527552780 580308058 1055105560 1160616116 1450770145 2110211120 2321232232 2901540290 4642464464 5803080580 11606161160 23212322320