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21424234224 = 24317100926021
BaseRepresentation
bin10011111100111110…
…111101111011110000
32001022002110212022110
4103330332331323300
5322334100443344
613501523405320
71355624662161
oct237476757360
961262425273
1021424234224
1190a44702a8
12419ab23840
13203578cb93
141073505768
15855ceb3b9
hex4fcfbdef0

21424234224 has 80 divisors (see below), whose sum is σ = 58661915040. Its totient is φ = 6714408960.

The previous prime is 21424234193. The next prime is 21424234229. The reversal of 21424234224 is 42243242412.

It is a happy number.

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 = 21424234191 and 21424234200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424234229) 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, 810334 + ... + 836354.

It is an arithmetic number, because the mean of its divisors is an integer number (733273938).

Almost surely, 221424234224 is an apocalyptic number.

21424234224 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 21424234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29330957520).

21424234224 is an abundant number, since it is smaller than the sum of its proper divisors (37237680816).

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

21424234224 is a wasteful number, since it uses less digits than its factorization.

21424234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27058 (or 27052 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 21424234224 its reverse (42243242412), we get a palindrome (63667476636).

The spelling of 21424234224 in words is "twenty-one billion, four hundred twenty-four million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1009 2018 3027 4036 6054 8072 12108 16144 17153 24216 26021 34306 48432 51459 52042 68612 78063 102918 104084 137224 156126 205836 208168 274448 312252 411672 416336 442357 624504 823344 884714 1249008 1327071 1769428 2654142 3538856 5308284 7077712 10616568 21233136 26255189 52510378 78765567 105020756 157531134 210041512 315062268 420083024 446338213 630124536 892676426 1260249072 1339014639 1785352852 2678029278 3570705704 5356058556 7141411408 10712117112 21424234224