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212301414 = 232133312741
BaseRepresentation
bin11001010011101…
…11011001100110
3112210111000210100
430221313121212
5413322121124
633022204530
75155350363
oct1451673146
9483430710
10212301414
11a9925216
125b123746
1334ca3550
14202a546a
15139891c9
hexca77666

212301414 has 48 divisors (see below), whose sum is σ = 497047824. Its totient is φ = 65102400.

The previous prime is 212301413. The next prime is 212301451. The reversal of 212301414 is 414103212.

212301414 is a `hidden beast` number, since 21 + 230 + 1 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301413) 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, 76084 + ... + 78824.

It is an arithmetic number, because the mean of its divisors is an integer number (10355163).

Almost surely, 2212301414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212301414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248523912).

212301414 is an abundant number, since it is smaller than the sum of its proper divisors (284746410).

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

212301414 is a wasteful number, since it uses less digits than its factorization.

212301414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212301414 is about 14570.5667014018. The cubic root of 212301414 is about 596.5556485742. Note that the first 3 decimals are identical.

Adding to 212301414 its reverse (414103212), we get a palindrome (626404626).

The spelling of 212301414 in words is "two hundred twelve million, three hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1986 2741 2979 4303 5482 5958 8223 8606 12909 16446 24669 25818 35633 38727 49338 71266 77454 106899 213798 320697 641394 907271 1814542 2721813 5443626 8165439 11794523 16330878 23589046 35383569 70767138 106150707 212301414