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14222412 = 22331929239
BaseRepresentation
bin110110010000…
…010001001100
3222202120111000
4312100101030
512120104122
61224500300
7231613521
oct66202114
928676430
1014222412
118034566
12491a690
132c3c739
141c63148
1513ae0ac
hexd9044c

14222412 has 96 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 4318272.

The previous prime is 14222347. The next prime is 14222419. The reversal of 14222412 is 21422241.

14222412 is a `hidden beast` number, since 1 + 422 + 241 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (14222419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59389 + ... + 59627.

It is an arithmetic number, because the mean of its divisors is an integer number (420000).

Almost surely, 214222412 is an apocalyptic number.

14222412 is a gapful number since it is divisible by the number (12) 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 14222412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

14222412 is an abundant number, since it is smaller than the sum of its proper divisors (26097588).

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

14222412 is a wasteful number, since it uses less digits than its factorization.

14222412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 14222412 is about 3771.2613274606. The cubic root of 14222412 is about 242.2838233596.

Adding to 14222412 its reverse (21422241), we get a palindrome (35644653).

It can be divided in two parts, 1422241 and 2, that multiplied together give a palindrome (2844482).

The spelling of 14222412 in words is "fourteen million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 87 108 114 116 171 174 228 239 261 342 348 478 513 522 551 684 717 783 956 1026 1044 1102 1434 1566 1653 2052 2151 2204 2868 3132 3306 4302 4541 4959 6453 6612 6931 8604 9082 9918 12906 13623 13862 14877 18164 19836 20793 25812 27246 27724 29754 40869 41586 54492 59508 62379 81738 83172 122607 124758 131689 163476 187137 245214 249516 263378 374274 395067 490428 526756 748548 790134 1185201 1580268 2370402 3555603 4740804 7111206 14222412