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2224541424 = 243746714177
BaseRepresentation
bin1000010010010111…
…1100111011110000
312202000212102011010
42010211330323300
514023440311144
61004423350520
7106061201340
oct20445747360
95660772133
102224541424
11a41771996
12520bb2440
13295b44c01
14171628d20
15d04685b9
hex8497cef0

2224541424 has 80 divisors (see below), whose sum is σ = 6582221568. Its totient is φ = 634177536.

The previous prime is 2224541377. The next prime is 2224541461. The reversal of 2224541424 is 4241454222.

2224541424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2224541391 and 2224541400.

It is a congruent number.

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, 149824 + ... + 164000.

Almost surely, 22224541424 is an apocalyptic number.

2224541424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291110784).

2224541424 is an abundant number, since it is smaller than the sum of its proper divisors (4357680144).

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

2224541424 is a wasteful number, since it uses less digits than its factorization.

2224541424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14656 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 2224541424 is about 47165.0445139194. The cubic root of 2224541424 is about 1305.4096909541.

Adding to 2224541424 its reverse (4241454222), we get a palindrome (6465995646).

The spelling of 2224541424 in words is "two billion, two hundred twenty-four million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 934 1401 1868 2802 3269 3736 5604 6538 7472 9807 11208 13076 14177 19614 22416 26152 28354 39228 42531 52304 56708 78456 85062 99239 113416 156912 170124 198478 226832 297717 340248 396956 595434 680496 793912 1190868 1587824 2381736 4763472 6620659 13241318 19861977 26482636 39723954 46344613 52965272 79447908 92689226 105930544 139033839 158895816 185378452 278067678 317791632 370756904 556135356 741513808 1112270712 2224541424