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214205244 = 2231110116067
BaseRepresentation
bin11001100010010…
…00001100111100
3112221001202100120
430301020030330
5414314031434
633131054540
75210500041
oct1461101474
9487052316
10214205244
11aaa05630
125b8a1450
13354bbc86
142063d1c8
1513c13349
hexcc4833c

214205244 has 48 divisors (see below), whose sum is σ = 550682496. Its totient is φ = 64264000.

The previous prime is 214205237. The next prime is 214205249. The reversal of 214205244 is 442502412.

It is a happy number.

214205244 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

214205244 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214205249) 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, 5299 + ... + 21365.

It is an arithmetic number, because the mean of its divisors is an integer number (11472552).

Almost surely, 2214205244 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 214205244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275341248).

214205244 is an abundant number, since it is smaller than the sum of its proper divisors (336477252).

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

214205244 is a wasteful number, since it uses less digits than its factorization.

214205244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16186 (or 16184 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 214205244 is about 14635.7522526176. The cubic root of 214205244 is about 598.3335648302. Note that the first 3 decimals are identical.

Adding to 214205244 its reverse (442502412), we get a palindrome (656707656).

The spelling of 214205244 in words is "two hundred fourteen million, two hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 16067 32134 48201 64268 96402 176737 192804 353474 530211 706948 1060422 1622767 2120844 3245534 4868301 6491068 9736602 17850437 19473204 35700874 53551311 71401748 107102622 214205244