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23221012520 = 23523311974133
BaseRepresentation
bin10101101000000101…
…001000100000101000
32012221022102122202202
4111220011020200220
5340024034400040
614400110515332
71451303230646
oct255005104050
965838378682
1023221012520
119936724442
124600805b48
132260ac26c4
1411a3dc0196
1590d91a015
hex568148828

23221012520 has 128 divisors (see below), whose sum is σ = 56576931840. Its totient is φ = 8552248320.

The previous prime is 23221012513. The next prime is 23221012531. The reversal of 23221012520 is 2521012232.

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 = 23221012492 and 23221012501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5616374 + ... + 5620506.

It is an arithmetic number, because the mean of its divisors is an integer number (442007280).

Almost surely, 223221012520 is an apocalyptic number.

23221012520 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 23221012520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28288465920).

23221012520 is an abundant number, since it is smaller than the sum of its proper divisors (33355919320).

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

23221012520 is a wasteful number, since it uses less digits than its factorization.

23221012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 23221012520 its reverse (2521012232), we get a palindrome (25742024752).

The spelling of 23221012520 in words is "twenty-three billion, two hundred twenty-one million, twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 197 230 248 310 394 460 620 713 788 920 985 1240 1426 1576 1970 2852 3565 3940 4133 4531 5704 6107 7130 7880 8266 9062 12214 14260 16532 18124 20665 22655 24428 28520 30535 33064 36248 41330 45310 48856 61070 82660 90620 95059 122140 128123 140461 165320 181240 190118 244280 256246 280922 380236 475295 512492 561844 640615 702305 760472 814201 950590 1024984 1123688 1281230 1404610 1628402 1901180 2562460 2809220 2946829 3256804 3802360 4071005 5124920 5618440 5893658 6513608 8142010 11787316 14734145 16284020 18726623 23574632 25240231 29468290 32568040 37453246 50480462 58936580 74906492 93633115 100960924 117873160 126201155 149812984 187266230 201921848 252402310 374532460 504804620 580525313 749064920 1009609240 1161050626 2322101252 2902626565 4644202504 5805253130 11610506260 23221012520