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23323302420 = 2235116129497
BaseRepresentation
bin10101101110001011…
…010101101000010100
32020012102220112010120
4111232023111220110
5340231231134140
614414203151540
71453654541145
oct255613255024
966172815116
1023323302420
11998943a350
12462ab155b0
132279058582
1411b3809acc
159178c31d0
hex56e2d5a14

23323302420 has 144 divisors (see below), whose sum is σ = 72436762944. Its totient is φ = 5560857600.

The previous prime is 23323302391. The next prime is 23323302451. The reversal of 23323302420 is 2420332332.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2451112 + ... + 2460608.

It is an arithmetic number, because the mean of its divisors is an integer number (503033076).

Almost surely, 223323302420 is an apocalyptic number.

23323302420 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 23323302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36218381472).

23323302420 is an abundant number, since it is smaller than the sum of its proper divisors (49113460524).

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

23323302420 is a wasteful number, since it uses less digits than its factorization.

23323302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23323302420 its reverse (2420332332), we get a palindrome (25743634752).

The spelling of 23323302420 in words is "twenty-three billion, three hundred twenty-three million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 3721 4026 6710 7442 8052 9497 10065 11163 13420 14884 18605 18994 20130 22326 28491 37210 37988 40260 40931 44652 47485 55815 56982 74420 81862 94970 104467 111630 113964 122793 142455 163724 189940 204655 208934 223260 245586 284910 313401 409310 417868 491172 522335 569820 579317 613965 626802 818620 1044670 1158634 1227930 1253604 1567005 1737951 2089340 2317268 2455860 2896585 3134010 3475902 5793170 6268020 6372487 6951804 8689755 11586340 12744974 17379510 19117461 25489948 31862435 34759020 35338337 38234922 63724870 70676674 76469844 95587305 106015011 127449740 141353348 176691685 191174610 212030022 353383370 382349220 388721707 424060044 530075055 706766740 777443414 1060150110 1166165121 1554886828 1943608535 2120300220 2332330242 3887217070 4664660484 5830825605 7774434140 11661651210 23323302420