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214334244 = 223229239859
BaseRepresentation
bin11001100011001…
…11101100100100
3112221022022022100
430301213230210
5414332143434
633133532100
75211545115
oct1461475444
9487268270
10214334244
11aaa93543
125b944030
13355358c7
142067420c
1513c3b699
hexcc67b24

214334244 has 72 divisors (see below), whose sum is σ = 563472000. Its totient is φ = 68612544.

The previous prime is 214334243. The next prime is 214334251. The reversal of 214334244 is 442433412.

It is a happy number.

214334244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214334243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249087 + ... + 249945.

It is an arithmetic number, because the mean of its divisors is an integer number (7826000).

Almost surely, 2214334244 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 214334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281736000).

214334244 is an abundant number, since it is smaller than the sum of its proper divisors (349137756).

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

214334244 is a wasteful number, since it uses less digits than its factorization.

214334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 214334244 is about 14640.1586056982. The cubic root of 214334244 is about 598.4536514339.

Adding to 214334244 its reverse (442433412), we get a palindrome (656767656).

The spelling of 214334244 in words is "two hundred fourteen million, three hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 239 261 348 478 522 717 859 956 1044 1434 1718 2151 2577 2868 3436 4302 5154 6931 7731 8604 10308 13862 15462 20793 24911 27724 30924 41586 49822 62379 74733 83172 99644 124758 149466 205301 224199 249516 298932 410602 448398 615903 821204 896796 1231806 1847709 2463612 3695418 5953729 7390836 11907458 17861187 23814916 35722374 53583561 71444748 107167122 214334244