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13220434224 = 2433231330559
BaseRepresentation
bin11000100111111111…
…11101000100110000
31021010100120122101000
430103333331010300
5204033412343344
610023503442000
7645420560004
oct142377750460
937110518330
1013220434224
1156746549a8
12268b5b6300
131328c61c5a
148d5b4a704
15525995a69
hex313ffd130

13220434224 has 80 divisors (see below), whose sum is σ = 39597465600. Its totient is φ = 4215207744.

The previous prime is 13220434223. The next prime is 13220434243. The reversal of 13220434224 is 42243402231.

13220434224 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 434 + 224 = 666.

It is a super-2 number, since 2×132204342242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13220434223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655344 + ... + 675215.

It is an arithmetic number, because the mean of its divisors is an integer number (494968320).

Almost surely, 213220434224 is an apocalyptic number.

It is an amenable number.

13220434224 is an abundant number, since it is smaller than the sum of its proper divisors (26377031376).

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

13220434224 is a wasteful number, since it uses less digits than its factorization.

13220434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330599 (or 1330587 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13220434224 its reverse (42243402231), we get a palindrome (55463836455).

The spelling of 13220434224 in words is "thirteen billion, two hundred twenty million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 1330559 2661118 3991677 5322236 7983354 10644472 11975031 15966708 21288944 23950062 30602857 31933416 35925093 47900124 61205714 63866832 71850186 91808571 95800248 122411428 143700372 183617142 191600496 244822856 275425713 287400744 367234284 489645712 550851426 574801488 734468568 826277139 1101702852 1468937136 1652554278 2203405704 3305108556 4406811408 6610217112 13220434224