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212009252 = 227132392437
BaseRepresentation
bin11001010001100…
…00000100100100
3112202221012000112
430220300010210
5413233244002
633012032152
75153022530
oct1450600444
9482835015
10212009252
11a9745764
125b002658
1334c00580
142022abc0
151392c852
hexca30124

212009252 has 48 divisors (see below), whose sum is σ = 458734080. Its totient is φ = 83486592.

The previous prime is 212009249. The next prime is 212009257. The reversal of 212009252 is 252900212.

It is not an unprimeable number, because it can be changed into a prime (212009257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85778 + ... + 88214.

It is an arithmetic number, because the mean of its divisors is an integer number (9556960).

Almost surely, 2212009252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212009252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229367040).

212009252 is an abundant number, since it is smaller than the sum of its proper divisors (246724828).

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

212009252 is a wasteful number, since it uses less digits than its factorization.

212009252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 212009252 is about 14560.5374900791. The cubic root of 212009252 is about 596.2818697356.

Adding to 212009252 its reverse (252900212), we get a palindrome (464909464).

The spelling of 212009252 in words is "two hundred twelve million, nine thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 239 364 478 956 1673 2437 3107 3346 4874 6214 6692 9748 12428 17059 21749 31681 34118 43498 63362 68236 86996 126724 221767 443534 582443 887068 1164886 2329772 4077101 7571759 8154202 15143518 16308404 30287036 53002313 106004626 212009252