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21242323000 = 2353194163
BaseRepresentation
bin10011110010001001…
…000010000000111000
32000211102011211000201
4103302021002000320
5322001013314000
613431504411544
71351255523563
oct236211020070
960742154021
1021242323000
119010812748
12414a016bb4
132006b9a0c2
1410572b14da
15844d6696a
hex4f2242038

21242323000 has 160 divisors (see below), whose sum is σ = 52790409360. Its totient is φ = 8000337600.

The previous prime is 21242322977. The next prime is 21242323001. The reversal of 21242323000 is 32324212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21242323001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130320919 + ... + 130321081.

Almost surely, 221242323000 is an apocalyptic number.

21242323000 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 21242323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26395204680).

21242323000 is an abundant number, since it is smaller than the sum of its proper divisors (31548086360).

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

21242323000 is an frugal number, since it uses more digits than its factorization.

21242323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 21242323000 its reverse (32324212), we get a palindrome (21274647212).

The spelling of 21242323000 in words is "twenty-one billion, two hundred forty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 163 190 200 250 326 361 380 475 500 652 722 760 815 950 1000 1304 1444 1630 1805 1900 2375 2888 3097 3260 3610 3800 4075 4750 6194 6520 6859 7220 8150 9025 9500 12388 13718 14440 15485 16300 18050 19000 20375 24776 27436 30970 32600 34295 36100 40750 45125 54872 58843 61940 68590 72200 77425 81500 90250 117686 123880 130321 137180 154850 163000 171475 180500 235372 260642 274360 294215 309700 342950 361000 387125 470744 521284 588430 619400 651605 685900 774250 857375 1042568 1118017 1176860 1303210 1371800 1471075 1548500 1714750 2236034 2353720 2606420 2942150 3097000 3258025 3429500 4472068 5212840 5590085 5884300 6516050 6859000 7355375 8944136 11180170 11768600 13032100 14710750 16290125 21242323 22360340 26064200 27950425 29421500 32580250 42484646 44720680 55900850 58843000 65160500 84969292 106211615 111801700 130321000 139752125 169938584 212423230 223603400 279504250 424846460 531058075 559008500 849692920 1062116150 1118017000 2124232300 2655290375 4248464600 5310580750 10621161500 21242323000