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13305022224 = 24313123117321
BaseRepresentation
bin11000110010000101…
…01000011100010000
31021100020202011021220
430121002220130100
5204222041202344
610040124445040
7650465552154
oct143102503420
937306664256
1013305022224
11570837a13a
1226b39a9780
13134063a720
14903089064
1552d103c19
hex3190a8710

13305022224 has 80 divisors (see below), whose sum is σ = 37047462144. Its totient is φ = 4090291200.

The previous prime is 13305022223. The next prime is 13305022231. The reversal of 13305022224 is 42222050331.

It is a super-2 number, since 2×133050222242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13305022194 and 13305022203.

It is not an unprimeable number, because it can be changed into a prime (13305022223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759484 + ... + 776804.

Almost surely, 213305022224 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 13305022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18523731072).

13305022224 is an abundant number, since it is smaller than the sum of its proper divisors (23742439920).

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

13305022224 is a wasteful number, since it uses less digits than its factorization.

13305022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18576 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13305022224 its reverse (42222050331), we get a palindrome (55527072555).

The spelling of 13305022224 in words is "thirteen billion, three hundred five million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1231 2462 3693 4924 7386 9848 14772 16003 17321 19696 29544 32006 34642 48009 51963 59088 64012 69284 96018 103926 128024 138568 192036 207852 225173 256048 277136 384072 415704 450346 675519 768144 831408 900692 1351038 1801384 2702076 3602768 5404152 10808304 21322151 42644302 63966453 85288604 127932906 170577208 255865812 277187963 341154416 511731624 554375926 831563889 1023463248 1108751852 1663127778 2217503704 3326255556 4435007408 6652511112 13305022224