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215296929 = 32672732
BaseRepresentation
bin11001101010100…
…10101110100001
3120000010012212100
430311102232201
5420104000204
633210321013
75222664561
oct1465225641
9500105770
10215296929
11100590851
1260129169
13357b1b43
1420844da1
1513d7ba39
hexcd52ba1

215296929 has 27 divisors (see below), whose sum is σ = 320079123. Its totient is φ = 139452192.

The previous prime is 215296897. The next prime is 215296931. The reversal of 215296929 is 929692512.

The square root of 215296929 is 14673.

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

215296929 is nontrivially palindromic in base 8.

215296929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 122213025 + 93083904 = 11055^2 + 9648^2 .

It is not a de Polignac number, because 215296929 - 25 = 215296897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215296129) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2949237 + ... + 2949309.

Almost surely, 2215296929 is an apocalyptic number.

215296929 is the 14673-rd square number.

215296929 is the 7337-th centered octagonal number.

It is an amenable number.

215296929 is a deficient number, since it is larger than the sum of its proper divisors (104782194).

215296929 is an frugal number, since it uses more digits than its factorization.

215296929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The cubic root of 215296929 is about 599.3483007364.

It can be divided in two parts, 215296 and 929, that added together give a square (216225 = 4652).

The spelling of 215296929 in words is "two hundred fifteen million, two hundred ninety-six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 67 73 201 219 603 657 4489 4891 5329 13467 14673 15987 40401 44019 47961 327697 357043 983091 1071129 2949273 3213387 23921881 71765643 215296929