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215313021240 = 233512746730253
BaseRepresentation
bin1100100010000110100…
…1111111100100111000
3202120202112102202121020
43020201221333210320
512011430113134430
6242525145142440
721361441324542
oct3104151774470
9676675382536
10215313021240
118334a650759
123588ba8aa20
13173c4974aa5
14a5c7b08692
1559029bab10
hex3221a7f938

215313021240 has 128 divisors (see below), whose sum is σ = 652440821760. Its totient is φ = 56840845824.

The previous prime is 215313021239. The next prime is 215313021251. The reversal of 215313021240 is 42120313512.

215313021240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2153130212402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 215313021240.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7101954 + ... + 7132206.

It is an arithmetic number, because the mean of its divisors is an integer number (5097193920).

Almost surely, 2215313021240 is an apocalyptic number.

215313021240 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 215313021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326220410880).

215313021240 is an abundant number, since it is smaller than the sum of its proper divisors (437127800520).

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

215313021240 is a wasteful number, since it uses less digits than its factorization.

215313021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30861 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 215313021240 its reverse (42120313512), we get a palindrome (257433334752).

The spelling of 215313021240 in words is "two hundred fifteen billion, three hundred thirteen million, twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 467 508 635 762 934 1016 1270 1401 1524 1868 1905 2335 2540 2802 3048 3736 3810 4670 5080 5604 7005 7620 9340 11208 14010 15240 18680 28020 30253 56040 59309 60506 90759 118618 121012 151265 177927 181518 237236 242024 296545 302530 355854 363036 453795 474472 593090 605060 711708 726072 889635 907590 1186180 1210120 1423416 1779270 1815180 2372360 3558540 3630360 3842131 7117080 7684262 11526393 14128151 15368524 19210655 23052786 28256302 30737048 38421310 42384453 46105572 56512604 57631965 70640755 76842620 84768906 92211144 113025208 115263930 141281510 153685240 169537812 211922265 230527860 282563020 339075624 423844530 461055720 565126040 847689060 1695378120 1794275177 3588550354 5382825531 7177100708 8971375885 10765651062 14354201416 17942751770 21531302124 26914127655 35885503540 43062604248 53828255310 71771007080 107656510620 215313021240