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212831226 = 2342295737
BaseRepresentation
bin11001010111110…
…00101111111010
3112211110221120000
430223320233322
5413441044401
633041413430
75163015126
oct1453705772
9484427500
10212831226
11aa157283
125b33a276
133512a74a
14203a2586
1513a41186
hexcaf8bfa

212831226 has 40 divisors (see below), whose sum is σ = 479065620. Its totient is φ = 70621632.

The previous prime is 212831221. The next prime is 212831243. The reversal of 212831226 is 622138212.

It can be written as a sum of positive squares in 2 ways, for example, as 211266225 + 1565001 = 14535^2 + 1251^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 212831226.

It is not an unprimeable number, because it can be changed into a prime (212831221) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34230 + ... + 39966.

Almost surely, 2212831226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212831226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239532810).

212831226 is an abundant number, since it is smaller than the sum of its proper divisors (266234394).

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

212831226 is a wasteful number, since it uses less digits than its factorization.

212831226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5971 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 212831226 is about 14588.7362715213. The cubic root of 212831226 is about 597.0514841587.

Adding to 212831226 its reverse (622138212), we get a palindrome (834969438).

The spelling of 212831226 in words is "two hundred twelve million, eight hundred thirty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 458 687 1374 2061 4122 5737 6183 11474 12366 17211 18549 34422 37098 51633 103266 154899 309798 464697 929394 1313773 2627546 3941319 7882638 11823957 23647914 35471871 70943742 106415613 212831226