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212503253 = 8911092153
BaseRepresentation
bin11001010101010…
…00101011010101
3112210212021122212
430222220223111
5413400101003
633030403205
75160151004
oct1452505325
9483767585
10212503253
11a9a52926
125b200505
1335044391
1420318c3b
15139c8dd8
hexcaa8ad5

212503253 has 8 divisors (see below), whose sum is σ = 215184600. Its totient is φ = 209828608.

The previous prime is 212503241. The next prime is 212503261. The reversal of 212503253 is 352305212.

212503253 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 4 ways, for example, as 25989604 + 186513649 = 5098^2 + 13657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212503253 - 210 = 212502229 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212503283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97625 + ... + 99777.

It is an arithmetic number, because the mean of its divisors is an integer number (26898075).

Almost surely, 2212503253 is an apocalyptic number.

It is an amenable number.

212503253 is a deficient number, since it is larger than the sum of its proper divisors (2681347).

212503253 is a wasteful number, since it uses less digits than its factorization.

212503253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 212503253 is about 14577.4913136657. The cubic root of 212503253 is about 596.7446409684.

Adding to 212503253 its reverse (352305212), we get a palindrome (564808465).

The spelling of 212503253 in words is "two hundred twelve million, five hundred three thousand, two hundred fifty-three".

Divisors: 1 89 1109 2153 98701 191617 2387677 212503253