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214134414 = 231317167967
BaseRepresentation
bin11001100001101…
…10111010001110
3112220221011012020
430300312322032
5414304300124
633125351010
75210053404
oct1460667216
9486834166
10214134414
11aa96739a
125b868466
1335495970
1420621474
1513bec379
hexcc36e8e

214134414 has 64 divisors (see below), whose sum is σ = 491774976. Its totient is φ = 61576704.

The previous prime is 214134413. The next prime is 214134419. The reversal of 214134414 is 414431412.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214134413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220959 + ... + 221925.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2214134414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214134414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).

214134414 is an abundant number, since it is smaller than the sum of its proper divisors (277640562).

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

214134414 is a wasteful number, since it uses less digits than its factorization.

214134414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169.

The product of its digits is 1536, while the sum is 24.

The square root of 214134414 is about 14633.3322930903. The cubic root of 214134414 is about 598.2676084019.

Adding to 214134414 its reverse (414431412), we get a palindrome (628565826).

The spelling of 214134414 in words is "two hundred fourteen million, one hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 167 221 334 442 501 663 967 1002 1326 1934 2171 2839 2901 4342 5678 5802 6513 8517 12571 13026 16439 17034 25142 32878 36907 37713 49317 73814 75426 98634 110721 161489 213707 221442 322978 427414 484467 641121 968934 1282242 2099357 2745313 4198714 5490626 6298071 8235939 12596142 16471878 35689069 71378138 107067207 214134414