215296 has 27 divisors (see below), whose sum is σ = 445081. Its totient is φ = 103936.

The previous prime is 215279. The next prime is 215297. The reversal of 215296 is 692512.

215296 = T_{463} + T_{464}.

The square root of 215296 is 464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 102400 = 336^2 + 320^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number *n* which added to its sum of digits gives 215296.

It is not an unprimeable number, because it can be changed into a prime (215297) by changing a digit.

215296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 7410 + ... + 7438.

215296 is a Friedman number, since it can be written as ((52+6)*(9-1))^2, using all its digits and the basic arithmetic operations.

2^{215296} is an apocalyptic number.

215296 is the 464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215296

215296 is an abundant number, since it is smaller than the sum of its proper divisors (229785).

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

215296 is an frugal number, since it uses more digits than its factorization.

215296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 31 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The cubic root of 215296 is about 59.9347438678.

Multiplying 215296 by its sum of digits (25), we get a square (5382400 = 2320^{2}).

The spelling of 215296 in words is "two hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 6728 7424 13456 26912 53824 107648 215296

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