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23200112232 = 23331114296833
BaseRepresentation
bin10101100110110101…
…011001111001101000
32012212212002210222000
4111212311121321220
5340003212042412
614354042531000
71450630462113
oct254665317150
965785083860
1023200112232
119925949780
1245b5806a60
13225968557b
1411a12dd57a
1590bb8c4dc
hex566d59e68

23200112232 has 128 divisors (see below), whose sum is σ = 70362864000. Its totient is φ = 7024389120.

The previous prime is 23200112207. The next prime is 23200112233. The reversal of 23200112232 is 23221100232.

23200112232 is a `hidden beast` number, since 2 + 320 + 0 + 112 + 232 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23200112233) 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 31 ways as a sum of consecutive naturals, for example, 3391888 + ... + 3398720.

It is an arithmetic number, because the mean of its divisors is an integer number (549709875).

Almost surely, 223200112232 is an apocalyptic number.

23200112232 is a gapful number since it is divisible by the number (22) 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 23200112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35181432000).

23200112232 is an abundant number, since it is smaller than the sum of its proper divisors (47162751768).

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

23200112232 is a wasteful number, since it uses less digits than its factorization.

23200112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23200112232 its reverse (23221100232), we get a palindrome (46421212464).

The spelling of 23200112232 in words is "twenty-three billion, two hundred million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1429 2376 2858 4287 5716 6833 8574 11432 12861 13666 15719 17148 20499 25722 27332 31438 34296 38583 40998 47157 51444 54664 61497 62876 75163 77166 81996 94314 102888 122994 125752 141471 150326 154332 163992 184491 188628 225489 245988 282942 300652 308664 368982 377256 424413 450978 491976 565884 601304 676467 737964 848826 901956 1131768 1352934 1475928 1697652 1803912 2029401 2705868 3395304 4058802 5411736 8117604 9764357 16235208 19528714 29293071 39057428 58586142 78114856 87879213 107407927 117172284 175758426 214815854 234344568 263637639 322223781 351516852 429631708 527275278 644447562 703033704 859263416 966671343 1054550556 1288895124 1933342686 2109101112 2577790248 2900014029 3866685372 5800028058 7733370744 11600056116 23200112232