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23221310420 = 22571161247193
BaseRepresentation
bin10101101000000110…
…010001001111010100
32012221022222210102002
4111220012101033110
5340024123413140
614400121134432
71451305611320
oct255006211724
965838883362
1023221310420
119936908240
12460092a418
132260b98189
1411a405a980
1590d978415
hex5681913d4

23221310420 has 96 divisors (see below), whose sum is σ = 61794544896. Its totient is φ = 7119129600.

The previous prime is 23221310419. The next prime is 23221310459. The reversal of 23221310420 is 2401312232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23221310392 and 23221310401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29657 + ... + 217536.

It is an arithmetic number, because the mean of its divisors is an integer number (643693176).

Almost surely, 223221310420 is an apocalyptic number.

23221310420 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 23221310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30897272448).

23221310420 is an abundant number, since it is smaller than the sum of its proper divisors (38573234476).

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

23221310420 is a wasteful number, since it uses less digits than its factorization.

23221310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247281 (or 247279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23221310420 its reverse (2401312232), we get a palindrome (25622622652).

The spelling of 23221310420 in words is "twenty-three billion, two hundred twenty-one million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 122 140 154 220 244 305 308 385 427 610 671 770 854 1220 1342 1540 1708 2135 2684 3355 4270 4697 6710 8540 9394 13420 18788 23485 46970 93940 247193 494386 988772 1235965 1730351 2471930 2719123 3460702 4943860 5438246 6921404 8651755 10876492 13595615 15078773 17303510 19033861 27191230 30157546 34607020 38067722 54382460 60315092 75393865 76135444 95169305 105551411 150787730 165866503 190338610 211102822 301575460 331733006 380677220 422205644 527757055 663466012 829332515 1055514110 1161065521 1658665030 2111028220 2322131042 3317330060 4644262084 5805327605 11610655210 23221310420