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23320424244 = 22313220035741
BaseRepresentation
bin10101101110000000…
…010110111100110100
32020012020111022000110
4111232000112330310
5340230012033434
614414021343020
71453621223025
oct255600267464
966166438013
1023320424244
119987853997
124629b67a70
13227858b500
1411b329ac4c
159175054e9
hex56e016f34

23320424244 has 72 divisors (see below), whose sum is σ = 58961704032. Its totient is φ = 7170683520.

The previous prime is 23320424243. The next prime is 23320424273. The reversal of 23320424244 is 44242402332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23320424243) 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 23 ways as a sum of consecutive naturals, for example, 4059214 + ... + 4064954.

It is an arithmetic number, because the mean of its divisors is an integer number (818912556).

Almost surely, 223320424244 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 23320424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480852016).

23320424244 is an abundant number, since it is smaller than the sum of its proper divisors (35641279788).

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

23320424244 is a wasteful number, since it uses less digits than its factorization.

23320424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 23320424244 its reverse (44242402332), we get a palindrome (67562826576).

The spelling of 23320424244 in words is "twenty-three billion, three hundred twenty million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2003 2028 4006 5741 6009 8012 11482 12018 17223 22964 24036 26039 34446 52078 68892 74633 78117 104156 149266 156234 223899 298532 312468 338507 447798 677014 895596 970229 1015521 1354028 1940458 2031042 2910687 3880916 4062084 5821374 11499223 11642748 22998446 34497669 45996892 68995338 137990676 149489899 298979798 448469697 597959596 896939394 1793878788 1943368687 3886737374 5830106061 7773474748 11660212122 23320424244