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216237025 = 521721732
BaseRepresentation
bin11001110001110…
…00001111100001
3120001212222102201
430320320033201
5420324041100
633242413201
75233661434
oct1470701741
9501788381
10216237025
11101073094
1260501201
1335a50a04
1420a0b81b
1513eb536a
hexce383e1

216237025 has 27 divisors (see below), whose sum is σ = 286490251. Its totient is φ = 161872640.

The previous prime is 216237013. The next prime is 216237029. The reversal of 216237025 is 520732612.

The square root of 216237025 is 14705.

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

216237025 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 13 ways, for example, as 4941729 + 211295296 = 2223^2 + 14536^2 .

It is not a de Polignac number, because 216237025 - 29 = 216236513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216236984 and 216237002.

It is not an unprimeable number, because it can be changed into a prime (216237029) 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, 1249839 + ... + 1250011.

Almost surely, 2216237025 is an apocalyptic number.

216237025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

216237025 is the 14705-th square number.

216237025 is the 7353-rd centered octagonal number.

It is an amenable number.

216237025 is a deficient number, since it is larger than the sum of its proper divisors (70253226).

216237025 is an equidigital number, since it uses as much as digits as its factorization.

216237025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The cubic root of 216237025 is about 600.2193873648.

Adding to 216237025 its reverse (520732612), we get a palindrome (736969637).

The spelling of 216237025 in words is "two hundred sixteen million, two hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 17 25 85 173 289 425 865 1445 2941 4325 7225 14705 29929 49997 73525 149645 249985 508793 748225 1249925 2543965 8649481 12719825 43247405 216237025