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224014043412 = 223271341325679
BaseRepresentation
bin1101000010100001000…
…1110000100100010100
3210102012220221111010200
43100220101300210110
512132240043342122
6250524410220500
722120163644245
oct3205021604424
9712186844120
10224014043412
11870050a6475
12374b9a24730
13181804c4613
14abb1534ccc
155c617db5ac
hex3428470914

224014043412 has 72 divisors (see below), whose sum is σ = 574423799040. Its totient is φ = 73595202240.

The previous prime is 224014043389. The next prime is 224014043443. The reversal of 224014043412 is 214340410422.

224014043412 is a `hidden beast` number, since 2 + 240 + 1 + 4 + 0 + 4 + 3 + 412 = 666.

224014043412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8710789 + ... + 8736467.

It is an arithmetic number, because the mean of its divisors is an integer number (7978108320).

Almost surely, 2224014043412 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 224014043412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287211899520).

224014043412 is an abundant number, since it is smaller than the sum of its proper divisors (350409755628).

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

224014043412 is a wasteful number, since it uses less digits than its factorization.

224014043412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29173 (or 29168 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224014043412 its reverse (214340410422), we get a palindrome (438354453834).

The spelling of 224014043412 in words is "two hundred twenty-four billion, fourteen million, forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 3413 6826 10239 13652 20478 25679 30717 40956 51358 61434 77037 102716 122868 154074 231111 242323 308148 462222 484646 726969 924444 969292 1453938 1823209 2180907 2907876 3646418 4361814 5469627 7292836 8723628 10939254 16408881 21878508 32817762 65635524 87642427 175284854 262927281 350569708 525854562 788781843 1051709124 1577563686 3155127372 6222612317 12445224634 18667836951 24890449268 37335673902 56003510853 74671347804 112007021706 224014043412