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23200102224 = 24321323715227
BaseRepresentation
bin10101100110110101…
…010111011101010000
32012212212002022020100
4111212311113131100
5340003211232344
614354042412400
71450630420665
oct254665273520
965785068210
1023200102224
119925942202
1245b5801100
132259680b50
1411a12d9a6c
1590bb89569
hex566d57750

23200102224 has 120 divisors (see below), whose sum is σ = 69965403872. Its totient is φ = 7134117120.

The previous prime is 23200102153. The next prime is 23200102271. The reversal of 23200102224 is 42220100232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23200102197 and 23200102206.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4435899 + ... + 4441125.

Almost surely, 223200102224 is an apocalyptic number.

23200102224 is a gapful number since it is divisible by the number (24) 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 23200102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34982701936).

23200102224 is an abundant number, since it is smaller than the sum of its proper divisors (46765301648).

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

23200102224 is a wasteful number, since it uses less digits than its factorization.

23200102224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7625 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23200102224 its reverse (42220100232), we get a palindrome (65420202456).

The spelling of 23200102224 in words is "twenty-three billion, two hundred million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2371 4742 5227 7113 9484 10454 14226 15681 18968 20908 21339 28452 30823 31362 37936 41816 42678 47043 56904 61646 62724 67951 83632 85356 92469 94086 113808 123292 125448 135902 170712 184938 188172 203853 246584 250896 271804 277407 341424 369876 376344 407706 493168 543608 554814 611559 739752 752688 815412 1087216 1109628 1223118 1479504 1630824 2219256 2446236 3261648 4438512 4892472 9784944 12393217 24786434 37179651 49572868 74359302 99145736 111538953 148718604 161111821 198291472 223077906 297437208 322223642 446155812 483335463 594874416 644447284 892311624 966670926 1288894568 1450006389 1784623248 1933341852 2577789136 2900012778 3866683704 5800025556 7733367408 11600051112 23200102224