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212434256 = 24231394153
BaseRepresentation
bin11001010100101…
…11110101010000
3112210201210000102
430222113311100
5413340344011
633025111532
75156442566
oct1452276520
9483653012
10212434256
11a9a06001
125b1885a8
133501bb58
14202dba36
15139b373b
hexca97d50

212434256 has 40 divisors (see below), whose sum is σ = 432680640. Its totient is φ = 100843776.

The previous prime is 212434253. The next prime is 212434273. The reversal of 212434256 is 652434212.

212434256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212434253) 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, 49076 + ... + 53228.

It is an arithmetic number, because the mean of its divisors is an integer number (10817016).

Almost surely, 2212434256 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 212434256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216340320).

212434256 is an abundant number, since it is smaller than the sum of its proper divisors (220246384).

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

212434256 is a wasteful number, since it uses less digits than its factorization.

212434256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4317 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 212434256 is about 14575.1245620749. The cubic root of 212434256 is about 596.6800489423.

Adding to 212434256 its reverse (652434212), we get a palindrome (864868468).

The spelling of 212434256 in words is "two hundred twelve million, four hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 46 92 139 184 278 368 556 1112 2224 3197 4153 6394 8306 12788 16612 25576 33224 51152 66448 95519 191038 382076 577267 764152 1154534 1528304 2309068 4618136 9236272 13277141 26554282 53108564 106217128 212434256