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212543253 = 321319234157
BaseRepresentation
bin11001010101100…
…10011100010101
3112210221022112100
430222302130111
5413402341003
633031312313
75160405426
oct1452623425
9483838470
10212543253
11a9a7a98a
125b21b699
1335059650
142032964d
15139d5ba3
hexcab2715

212543253 has 48 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 118495872.

The previous prime is 212543251. The next prime is 212543269. The reversal of 212543253 is 352345212.

It is a happy number.

212543253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212543253 - 21 = 212543251 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212543251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49051 + ... + 53207.

It is an arithmetic number, because the mean of its divisors is an integer number (7567560).

Almost surely, 2212543253 is an apocalyptic number.

212543253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212543253 is a deficient number, since it is larger than the sum of its proper divisors (150699627).

212543253 is a wasteful number, since it uses less digits than its factorization.

212543253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4215 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 212543253 is about 14578.8632272890. The cubic root of 212543253 is about 596.7820808472.

Adding to 212543253 its reverse (352345212), we get a palindrome (564888465).

The spelling of 212543253 in words is "two hundred twelve million, five hundred forty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 13 19 23 39 57 69 117 171 207 247 299 437 741 897 1311 2223 2691 3933 4157 5681 12471 17043 37413 51129 54041 78983 95611 162123 236949 286833 486369 710847 860499 1026779 1242943 1816609 3080337 3728829 5449827 9241011 11186487 16349481 23615917 70847751 212543253