Search a number
-
+
2231223024 = 2431091992143
BaseRepresentation
bin1000010011111101…
…1100001011110000
312202111102212120210
42010333130023300
514032143114044
61005222504120
7106202040252
oct20477341360
95674385523
102231223024
11a45515978
12523295040
13297344214
14172487cd2
15d0d381b9
hex84fdc2f0

2231223024 has 80 divisors (see below), whose sum is σ = 5848832000. Its totient is φ = 732872448.

The previous prime is 2231222971. The next prime is 2231223053. The reversal of 2231223024 is 4203221322.

2231223024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312230243 (a number of 29 digits) contains 333 as substring.

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, 1040097 + ... + 1042239.

It is an arithmetic number, because the mean of its divisors is an integer number (73110400).

Almost surely, 22231223024 is an apocalyptic number.

2231223024 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 2231223024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924416000).

2231223024 is an abundant number, since it is smaller than the sum of its proper divisors (3617608976).

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

2231223024 is a wasteful number, since it uses less digits than its factorization.

2231223024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2231223024 is about 47235.8235241009. The cubic root of 2231223024 is about 1306.7153544031.

Adding to 2231223024 its reverse (4203221322), we get a palindrome (6434444346).

The spelling of 2231223024 in words is "two billion, two hundred thirty-one million, two hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 199 218 327 398 436 597 654 796 872 1194 1308 1592 1744 2143 2388 2616 3184 4286 4776 5232 6429 8572 9552 12858 17144 21691 25716 34288 43382 51432 65073 86764 102864 130146 173528 233587 260292 347056 426457 467174 520584 700761 852914 934348 1041168 1279371 1401522 1705828 1868696 2558742 2803044 3411656 3737392 5117484 5606088 6823312 10234968 11212176 20469936 46483813 92967626 139451439 185935252 278902878 371870504 557805756 743741008 1115611512 2231223024