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215241840 = 24335119059
BaseRepresentation
bin11001101010001…
…01010001110000
3120000000102022000
430311011101300
5420100214330
633205214000
75222345142
oct1465052160
9500012260
10215241840
11100553420
1260101300
1335792a48
142082cc92
1513d6a560
hexcd45470

215241840 has 160 divisors (see below), whose sum is σ = 808876800. Its totient is φ = 52174080.

The previous prime is 215241827. The next prime is 215241847. The reversal of 215241840 is 48142512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215241847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19231 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (5055480).

Almost surely, 2215241840 is an apocalyptic number.

215241840 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 215241840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404438400).

215241840 is an abundant number, since it is smaller than the sum of its proper divisors (593634960).

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

215241840 is a wasteful number, since it uses less digits than its factorization.

215241840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 215241840 is about 14671.1226564295. The cubic root of 215241840 is about 599.2971770546.

The spelling of 215241840 in words is "two hundred fifteen million, two hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 9059 11880 18118 23760 27177 36236 45295 54354 72472 81531 90590 99649 108708 135885 144944 163062 181180 199298 217416 244593 271770 298947 326124 362360 398596 407655 434832 489186 498245 543540 597894 652248 724720 797192 815310 896841 978372 996490 1087080 1195788 1222965 1304496 1494735 1594384 1630620 1793682 1956744 1992980 2174160 2391576 2445930 2690523 2989470 3261240 3587364 3913488 3985960 4484205 4783152 4891860 5381046 5978940 6522480 7174728 7971920 8968410 9783720 10762092 11957880 13452615 14349456 17936820 19567440 21524184 23915760 26905230 35873640 43048368 53810460 71747280 107620920 215241840