Search a number
-
+
215297856 = 26322912889
BaseRepresentation
bin11001101010100…
…10111101000000
3120000010021010200
430311102331000
5420104012411
633210325200
75223000354
oct1465227500
9500107120
10215297856
11100591514
1260129800
13357b23a7
1420845464
1513d7be56
hexcd52f40

215297856 has 84 divisors (see below), whose sum is σ = 638441700. Its totient is φ = 69285888.

The previous prime is 215297851. The next prime is 215297881. The reversal of 215297856 is 658792512.

215297856 is a `hidden beast` number, since 2 + 1 + 529 + 78 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127238400 + 88059456 = 11280^2 + 9384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215297851) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10260 + ... + 23148.

Almost surely, 2215297856 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 215297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319220850).

215297856 is an abundant number, since it is smaller than the sum of its proper divisors (423143844).

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

215297856 is a wasteful number, since it uses less digits than its factorization.

215297856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12923 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 215297856 is about 14673.0315885982. The cubic root of 215297856 is about 599.3491609361.

It can be divided in two parts, 215297 and 856, that added together give a triangular number (216153 = T657).

The spelling of 215297856 in words is "two hundred fifteen million, two hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 12889 16704 25778 38667 51556 77334 103112 116001 154668 206224 232002 309336 373781 412448 464004 618672 747562 824896 928008 1121343 1237344 1495124 1856016 2242686 2474688 2990248 3364029 3712032 4485372 5980496 6728058 7424064 8970744 11960992 13456116 17941488 23921984 26912232 35882976 53824464 71765952 107648928 215297856