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212224230 = 232537101631
BaseRepresentation
bin11001010011001…
…00100011100110
3112210100002220200
430221210203212
5413312133410
633020411330
75154606351
oct1451444346
9483302820
10212224230
11a9882229
125b0a6b46
1334c7738a
1420285298
15139713c0
hexca648e6

212224230 has 96 divisors (see below), whose sum is σ = 573213888. Its totient is φ = 54432000.

The previous prime is 212224217. The next prime is 212224231. The reversal of 212224230 is 32422212.

212224230 is a `hidden beast` number, since 21 + 222 + 423 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336015 + ... + 336645.

It is an arithmetic number, because the mean of its divisors is an integer number (5970978).

Almost surely, 2212224230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212224230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286606944).

212224230 is an abundant number, since it is smaller than the sum of its proper divisors (360989658).

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

212224230 is a wasteful number, since it uses less digits than its factorization.

212224230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 212224230 is about 14567.9178333762. The cubic root of 212224230 is about 596.4833455037.

Adding to 212224230 its reverse (32422212), we get a palindrome (244646442).

It can be divided in two parts, 21222 and 4230, that added together give a palindrome (25452).

The spelling of 212224230 in words is "two hundred twelve million, two hundred twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 101 111 185 202 222 303 333 370 505 555 606 631 666 909 1010 1110 1262 1515 1665 1818 1893 3030 3155 3330 3737 3786 4545 5679 6310 7474 9090 9465 11211 11358 18685 18930 22422 23347 28395 33633 37370 46694 56055 56790 63731 67266 70041 112110 116735 127462 140082 168165 191193 210123 233470 318655 336330 350205 382386 420246 573579 637310 700410 955965 1050615 1147158 1911930 2101230 2358047 2867895 4716094 5735790 7074141 11790235 14148282 21222423 23580470 35370705 42444846 70741410 106112115 212224230