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42223234224 = 24310126932377
BaseRepresentation
bin100111010100101100…
…110110110010110000
311000222121110112111210
4213110230312302300
51142433121443344
631221434240120
73023221366143
oct472454666260
9130877415453
1042223234224
11169a7a078a6
128224586040
133c9b85a482
14208797605a
151171c92db9
hex9d4b36cb0

42223234224 has 80 divisors (see below), whose sum is σ = 110569574880. Its totient is φ = 13882828800.

The previous prime is 42223234121. The next prime is 42223234231. The reversal of 42223234224 is 42243232224.

42223234224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42223234191 and 42223234200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1287924 + ... + 1320300.

It is an arithmetic number, because the mean of its divisors is an integer number (1382119686).

Almost surely, 242223234224 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 42223234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55284787440).

42223234224 is an abundant number, since it is smaller than the sum of its proper divisors (68346340656).

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

42223234224 is a wasteful number, since it uses less digits than its factorization.

42223234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32758 (or 32752 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

Adding to 42223234224 its reverse (42243232224), we get a palindrome (84466466448).

The spelling of 42223234224 in words is "forty-two billion, two hundred twenty-three million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 269 303 404 538 606 807 808 1076 1212 1614 1616 2152 2424 3228 4304 4848 6456 12912 27169 32377 54338 64754 81507 97131 108676 129508 163014 194262 217352 259016 326028 388524 434704 518032 652056 777048 1304112 1554096 3270077 6540154 8709413 9810231 13080308 17418826 19620462 26128239 26160616 34837652 39240924 52256478 52321232 69675304 78481848 104512956 139350608 156963696 209025912 418051824 879650713 1759301426 2638952139 3518602852 5277904278 7037205704 10555808556 14074411408 21111617112 42223234224