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23241000320 = 275535631217
BaseRepresentation
bin10101101001010001…
…011000010110000000
32012222201001010212122
4111221101120112000
5340044144002240
614402103143412
71451635146266
oct255121302600
965881033778
1023241000320
119946a3658a
124607444b68
132264ca03c5
1411a6904436
159105674b5
hex569458580

23241000320 has 128 divisors (see below), whose sum is σ = 56755974240. Its totient is φ = 9097314304.

The previous prime is 23241000319. The next prime is 23241000323. The reversal of 23241000320 is 2300014232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241000323) 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 15 ways as a sum of consecutive naturals, for example, 19096352 + ... + 19097568.

Almost surely, 223241000320 is an apocalyptic number.

23241000320 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 23241000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28377987120).

23241000320 is an abundant number, since it is smaller than the sum of its proper divisors (33514973920).

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

23241000320 is a wasteful number, since it uses less digits than its factorization.

23241000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23241000320 its reverse (2300014232), we get a palindrome (25541014552).

The spelling of 23241000320 in words is "twenty-three billion, two hundred forty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 563 640 848 1060 1126 1217 1696 2120 2252 2434 2815 3392 4240 4504 4868 5630 6085 6784 8480 9008 9736 11260 12170 16960 18016 19472 22520 24340 29839 33920 36032 38944 45040 48680 59678 64501 72064 77888 90080 97360 119356 129002 149195 155776 180160 194720 238712 258004 298390 322505 360320 389440 477424 516008 596780 645010 685171 778880 954848 1032016 1193560 1290020 1370342 1909696 2064032 2387120 2580040 2740684 3425855 3819392 4128064 4774240 5160080 5481368 6851710 8256128 9548480 10320160 10962736 13703420 19096960 20640320 21925472 27406840 36314063 41280640 43850944 54813680 72628126 87701888 109627360 145256252 181570315 219254720 290512504 363140630 438509440 581025008 726281260 1162050016 1452562520 2324100032 2905125040 4648200064 5810250080 11620500160 23241000320