Search a number
-
+
215238456 = 233231731321
BaseRepresentation
bin11001101010001…
…00011100111000
3120000000020122200
430311010130320
5420100112311
633205150200
75222332236
oct1465043470
9500006580
10215238456
11100550924
12600bb360
1335791344
142082b956
1513d69556
hexcd44738

215238456 has 96 divisors (see below), whose sum is σ = 610446720. Its totient is φ = 68428800.

The previous prime is 215238437. The next prime is 215238461. The reversal of 215238456 is 654832512.

215238456 is a `hidden beast` number, since 2 + 1 + 523 + 84 + 56 = 666.

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 215238456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162276 + ... + 163596.

It is an arithmetic number, because the mean of its divisors is an integer number (6358820).

Almost surely, 2215238456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215238456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305223360).

215238456 is an abundant number, since it is smaller than the sum of its proper divisors (395208264).

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

215238456 is a wasteful number, since it uses less digits than its factorization.

215238456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1430 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 215238456 is about 14671.0073273787. The cubic root of 215238456 is about 599.2940363513.

The spelling of 215238456 in words is "two hundred fifteen million, two hundred thirty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 73 93 124 146 186 219 248 279 292 372 438 558 584 657 744 876 1116 1314 1321 1752 2232 2263 2628 2642 3963 4526 5256 5284 6789 7926 9052 10568 11889 13578 15852 18104 20367 23778 27156 31704 40734 40951 47556 54312 81468 81902 95112 96433 122853 162936 163804 192866 245706 289299 327608 368559 385732 491412 578598 737118 771464 867897 982824 1157196 1474236 1735794 2314392 2948472 2989423 3471588 5978846 6943176 8968269 11957692 17936538 23915384 26904807 35873076 53809614 71746152 107619228 215238456