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212314344 = 233112113647
BaseRepresentation
bin11001010011110…
…10100011101000
3112210111200112020
430221322203220
5413323024334
633022344440
75155433154
oct1451724350
9483450466
10212314344
11a9933a00
125b12b120
1334ca93b8
14202aa064
151398ce49
hexca7a8e8

212314344 has 96 divisors (see below), whose sum is σ = 589498560. Its totient is φ = 63669760.

The previous prime is 212314337. The next prime is 212314363. The reversal of 212314344 is 443413212.

212314344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327829 + ... + 328475.

It is an arithmetic number, because the mean of its divisors is an integer number (6140610).

Almost surely, 2212314344 is an apocalyptic number.

212314344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294749280).

212314344 is an abundant number, since it is smaller than the sum of its proper divisors (377184216).

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

212314344 is a wasteful number, since it uses less digits than its factorization.

212314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 212314344 is about 14571.0103973609. The cubic root of 212314344 is about 596.5677591984.

Adding to 212314344 its reverse (443413212), we get a palindrome (655727556).

The spelling of 212314344 in words is "two hundred twelve million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 113 121 132 226 242 264 339 363 452 484 647 678 726 904 968 1243 1294 1356 1452 1941 2486 2588 2712 2904 3729 3882 4972 5176 7117 7458 7764 9944 13673 14234 14916 15528 21351 27346 28468 29832 41019 42702 54692 56936 73111 78287 82038 85404 109384 146222 156574 164076 170808 219333 234861 292444 313148 328152 438666 469722 584888 626296 804221 877332 939444 1608442 1754664 1878888 2412663 3216884 4825326 6433768 8846431 9650652 17692862 19301304 26539293 35385724 53078586 70771448 106157172 212314344