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14224212 = 22322341419
BaseRepresentation
bin110110010000…
…101101010100
3222202122221200
4312100231110
512120133322
61224512500
7231622002
oct66205524
928678850
1014224212
118035952
12491b730
132c404c2
141c63a72
1513ae8ac
hexd90b54

14224212 has 72 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 4414080.

The previous prime is 14224201. The next prime is 14224213. The reversal of 14224212 is 21242241.

14224212 is nontrivially palindromic in base 13.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33739 + ... + 34157.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 214224212 is an apocalyptic number.

14224212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3771×3772.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

14224212 is an abundant number, since it is smaller than the sum of its proper divisors (24301548).

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

14224212 is a wasteful number, since it uses less digits than its factorization.

14224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

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

The square root of 14224212 is about 3771.4999668567. The cubic root of 14224212 is about 242.2940441409.

Adding to 14224212 its reverse (21242241), we get a palindrome (35466453).

The spelling of 14224212 in words is "fourteen million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 419 492 738 828 838 943 1257 1476 1676 1886 2514 2829 3771 3772 5028 5658 7542 8487 9637 11316 15084 16974 17179 19274 28911 33948 34358 38548 51537 57822 68716 86733 103074 115644 154611 173466 206148 309222 346932 395117 618444 790234 1185351 1580468 2370702 3556053 4741404 7112106 14224212