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215135856 = 243213412803
BaseRepresentation
bin11001101001010…
…11011001110000
3112222211000220200
430310223121300
5420033321411
633203035200
75221424145
oct1464533160
9488730820
10215135856
11100490831
126006bb00
1335756730
14208023cc
1513d48e56
hexcd2b670

215135856 has 120 divisors (see below), whose sum is σ = 664447056. Its totient is φ = 64558080.

The previous prime is 215135849. The next prime is 215135863. The reversal of 215135856 is 658531512.

It is a happy number.

215135856 is a `hidden beast` number, since 21 + 51 + 3 + 585 + 6 = 666.

215135856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215135849) and next prime (215135863).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 215135856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75351 + ... + 78153.

Almost surely, 2215135856 is an apocalyptic number.

215135856 is a gapful number since it is divisible by the number (26) 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 215135856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332223528).

215135856 is an abundant number, since it is smaller than the sum of its proper divisors (449311200).

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

215135856 is a wasteful number, since it uses less digits than its factorization.

215135856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 215135856 is about 14667.5102181659. The cubic root of 215135856 is about 599.1987972665.

The spelling of 215135856 in words is "two hundred fifteen million, one hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2803 2952 3198 4264 4797 5606 5904 6396 8409 8528 9594 11212 12792 16818 19188 22424 25227 25584 33636 36439 38376 44848 50454 67272 72878 76752 100908 109317 114923 134544 145756 201816 218634 229846 291512 327951 344769 403632 437268 459692 583024 655902 689538 874536 919384 1034307 1311804 1379076 1493999 1749072 1838768 2068614 2623608 2758152 2987998 4137228 4481997 5247216 5516304 5975996 8274456 8963994 11951992 13445991 16548912 17927988 23903984 26891982 35855976 53783964 71711952 107567928 215135856