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212430414 = 23731241677
BaseRepresentation
bin11001010100101…
…10111001001110
3112210201120202010
430222112321032
5413340233124
633025042050
75156425440
oct1452267116
9483646663
10212430414
11a9a03129
125b186326
133501a191
14202da490
15139b2529
hexca96e4e

212430414 has 64 divisors (see below), whose sum is σ = 504041472. Its totient is φ = 58406400.

The previous prime is 212430403. The next prime is 212430443. The reversal of 212430414 is 414034212.

212430414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124304142 = 90253361584422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313444 + ... + 314120.

It is an arithmetic number, because the mean of its divisors is an integer number (7875648).

Almost surely, 2212430414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212430414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252020736).

212430414 is an abundant number, since it is smaller than the sum of its proper divisors (291611058).

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

212430414 is a wasteful number, since it uses less digits than its factorization.

212430414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 212430414 is about 14574.9927615762. The cubic root of 212430414 is about 596.6764518160.

Adding to 212430414 its reverse (414034212), we get a palindrome (626464626).

The spelling of 212430414 in words is "two hundred twelve million, four hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 241 434 482 651 677 723 1302 1354 1446 1687 2031 3374 4062 4739 5061 7471 9478 10122 14217 14942 20987 22413 28434 41974 44826 52297 62961 104594 125922 146909 156891 163157 293818 313782 326314 440727 489471 881454 978942 1142099 2284198 3426297 5057867 6852594 10115734 15173601 30347202 35405069 70810138 106215207 212430414