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2234243424 = 253717771871
BaseRepresentation
bin1000010100101011…
…1101100101100000
312202201010022210110
42011022331211200
514033431242144
61005411331320
7106236520140
oct20512754540
95681108713
102234243424
11a47199176
125242b0b40
13297b60c3a
14172a32920
15d12330b9
hex852bd960

2234243424 has 96 divisors (see below), whose sum is σ = 6710086656. Its totient is φ = 637655040.

The previous prime is 2234243359. The next prime is 2234243443. The reversal of 2234243424 is 4243424322.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2234243391 and 2234243400.

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, 1193209 + ... + 1195079.

It is an arithmetic number, because the mean of its divisors is an integer number (69896736).

Almost surely, 22234243424 is an apocalyptic number.

2234243424 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 2234243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355043328).

2234243424 is an abundant number, since it is smaller than the sum of its proper divisors (4475843232).

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

2234243424 is a wasteful number, since it uses less digits than its factorization.

2234243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3660 counting only the distinct ones).

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

The square root of 2234243424 is about 47267.7842086976. The cubic root of 2234243424 is about 1307.3047207771.

Adding to 2234243424 its reverse (4243424322), we get a palindrome (6477667746).

The spelling of 2234243424 in words is "two billion, two hundred thirty-four million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1777 1871 3554 3742 5331 5613 7108 7484 10662 11226 12439 13097 14216 14968 21324 22452 24878 26194 28432 29936 37317 39291 42648 44904 49756 52388 56864 59872 74634 78582 85296 89808 99512 104776 149268 157164 170592 179616 199024 209552 298536 314328 398048 419104 597072 628656 1194144 1257312 3324767 6649534 9974301 13299068 19948602 23273369 26598136 39897204 46546738 53196272 69820107 79794408 93093476 106392544 139640214 159588816 186186952 279280428 319177632 372373904 558560856 744747808 1117121712 2234243424