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23221310220 = 22325417343103
BaseRepresentation
bin10101101000000110…
…010001001100001100
32012221022222210010200
4111220012101030030
5340024123411340
614400121133500
71451305610613
oct255006211414
965838883120
1023221310220
119936908079
12460092a290
132260b98064
1411a405a87a
1590d978330
hex56819130c

23221310220 has 144 divisors (see below), whose sum is σ = 73146108672. Its totient is φ = 5958420480.

The previous prime is 23221310219. The next prime is 23221310221. The reversal of 23221310220 is 2201312232.

23221310220 is a `hidden beast` number, since 232 + 213 + 1 + 0 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (23221310219) and next prime (23221310221).

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 = 23221310193 and 23221310202.

It is not an unprimeable number, because it can be changed into a prime (23221310221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517189 + ... + 560291.

It is an arithmetic number, because the mean of its divisors is an integer number (507959088).

Almost surely, 223221310220 is an apocalyptic number.

23221310220 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 23221310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36573054336).

23221310220 is an abundant number, since it is smaller than the sum of its proper divisors (49924798452).

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

23221310220 is a wasteful number, since it uses less digits than its factorization.

23221310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43232 (or 43227 counting only the distinct ones).

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

Adding to 23221310220 its reverse (2201312232), we get a palindrome (25422622452).

The spelling of 23221310220 in words is "twenty-three billion, two hundred twenty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 73 82 90 123 146 164 180 205 219 246 292 365 369 410 438 492 615 657 730 738 820 876 1095 1230 1314 1460 1476 1845 2190 2460 2628 2993 3285 3690 4380 5986 6570 7380 8979 11972 13140 14965 17958 26937 29930 35916 43103 44895 53874 59860 86206 89790 107748 129309 134685 172412 179580 215515 258618 269370 387927 431030 517236 538740 646545 775854 862060 1293090 1551708 1767223 1939635 2586180 3146519 3534446 3879270 5301669 6293038 7068892 7758540 8836115 9439557 10603338 12586076 15732595 15905007 17672230 18879114 21206676 26508345 28318671 31465190 31810014 35344460 37758228 47197785 53016690 56637342 62930380 63620028 79525035 94395570 106033380 113274684 129007279 141593355 159050070 188791140 258014558 283186710 318100140 387021837 516029116 566373420 645036395 774043674 1161065511 1290072790 1548087348 1935109185 2322131022 2580145580 3870218370 4644262044 5805327555 7740436740 11610655110 23221310220