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14221224450 = 23252294325343
BaseRepresentation
bin11010011111010011…
…01010101000000010
31100201002202001110200
431033221222220002
5213111113140300
610311054110030
71012262261526
oct151751525002
940632661420
1014221224450
116038568464
12290a7ab316
1314583b7a14
1498ca21d86
15583781200
hex34fa6aa02

14221224450 has 144 divisors (see below), whose sum is σ = 40445982720. Its totient is φ = 3576263040.

The previous prime is 14221224449. The next prime is 14221224497. The reversal of 14221224450 is 5442212241.

It is a happy number.

14221224450 is a `hidden beast` number, since 1 + 4 + 2 + 212 + 2 + 445 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 548479 + ... + 573821.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880).

Almost surely, 214221224450 is an apocalyptic number.

14221224450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14221224450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

14221224450 is an abundant number, since it is smaller than the sum of its proper divisors (26224758270).

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

14221224450 is a wasteful number, since it uses less digits than its factorization.

14221224450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25433 (or 25425 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14221224450 its reverse (5442212241), we get a palindrome (19663436691).

The spelling of 14221224450 in words is "fourteen billion, two hundred twenty-one million, two hundred twenty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 43 45 50 58 75 86 87 90 129 145 150 174 215 225 258 261 290 387 430 435 450 522 645 725 774 870 1075 1247 1290 1305 1450 1935 2150 2175 2494 2610 3225 3741 3870 4350 6235 6450 6525 7482 9675 11223 12470 13050 18705 19350 22446 25343 31175 37410 50686 56115 62350 76029 93525 112230 126715 152058 187050 228087 253430 280575 380145 456174 561150 633575 734947 760290 1089749 1140435 1267150 1469894 1900725 2179498 2204841 2280870 3269247 3674735 3801450 4409682 5448745 5702175 6538494 6614523 7349470 9807741 10897490 11024205 11404350 13229046 16346235 18373675 19615482 22048410 27243725 31602721 32692470 33072615 36747350 49038705 54487450 55121025 63205442 66145230 81731175 94808163 98077410 110242050 158013605 163462350 165363075 189616326 245193525 284424489 316027210 330726150 474040815 490387050 568848978 790068025 948081630 1422122445 1580136050 2370204075 2844244890 4740408150 7110612225 14221224450