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21202454240 = 2551185714057
BaseRepresentation
bin10011101111110000…
…111100011011100000
32000201122011021100222
4103233300330123200
5321410312013430
613423522102212
71350262613252
oct235760743340
960648137328
1021202454240
118aa0261760
1241387aa968
131ccb84b216
141051c93cd2
158415dd9e5
hex4efc3c6e0

21202454240 has 96 divisors (see below), whose sum is σ = 54712161504. Its totient is φ = 7700439040.

The previous prime is 21202454197. The next prime is 21202454249. The reversal of 21202454240 is 4245420212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202454249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501292 + ... + 1515348.

It is an arithmetic number, because the mean of its divisors is an integer number (569918349).

Almost surely, 221202454240 is an apocalyptic number.

21202454240 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 21202454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27356080752).

21202454240 is an abundant number, since it is smaller than the sum of its proper divisors (33509707264).

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

21202454240 is a wasteful number, since it uses less digits than its factorization.

21202454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 21202454240 its reverse (4245420212), we get a palindrome (25447874452).

The spelling of 21202454240 in words is "twenty-one billion, two hundred two million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 857 880 1714 1760 3428 4285 6856 8570 9427 13712 14057 17140 18854 27424 28114 34280 37708 47135 56228 68560 70285 75416 94270 112456 137120 140570 150832 154627 188540 224912 281140 301664 309254 377080 449824 562280 618508 754160 773135 1124560 1237016 1508320 1546270 2249120 2474032 3092540 4948064 6185080 12046849 12370160 24093698 24740320 48187396 60234245 96374792 120468490 132515339 192749584 240936980 265030678 385499168 481873960 530061356 662576695 963747920 1060122712 1325153390 1927495840 2120245424 2650306780 4240490848 5300613560 10601227120 21202454240