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214332912 = 24334112101
BaseRepresentation
bin11001100011001…
…11010111110000
3112221022020111000
430301213113300
5414332123122
633133522000
75211541203
oct1461472760
9487266430
10214332912
11aaa92542
125b943300
1335535111
142067393a
1513c3b0ac
hexcc675f0

214332912 has 80 divisors (see below), whose sum is σ = 630272160. Its totient is φ = 69696000.

The previous prime is 214332851. The next prime is 214332917. The reversal of 214332912 is 219233412.

It is a happy number.

214332912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214332917) 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, 11662 + ... + 23762.

It is an arithmetic number, because the mean of its divisors is an integer number (7878402).

Almost surely, 2214332912 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 214332912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315136080).

214332912 is an abundant number, since it is smaller than the sum of its proper divisors (415939248).

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

214332912 is a wasteful number, since it uses less digits than its factorization.

214332912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12159 (or 12147 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 214332912 is about 14640.1131143171. The cubic root of 214332912 is about 598.4524117161.

The spelling of 214332912 in words is "two hundred fourteen million, three hundred thirty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 12101 17712 24202 36303 48404 72606 96808 108909 145212 193616 217818 290424 326727 435636 496141 580848 653454 871272 992282 1306908 1488423 1742544 1984564 2613816 2976846 3969128 4465269 5227632 5953692 7938256 8930538 11907384 13395807 17861076 23814768 26791614 35722152 53583228 71444304 107166456 214332912