Search a number
-
+
2242347492 = 22371110323561
BaseRepresentation
bin1000010110100111…
…1000000111100100
312210021101001111010
42011221320013210
514043020104432
61010301142220
7106365432150
oct20551700744
95707331433
102242347492
11a50823950
12526b5a970
1329973a848
14173b42060
15d1cd43cc
hex85a781e4

2242347492 has 96 divisors (see below), whose sum is σ = 6586804224. Its totient is φ = 576748800.

The previous prime is 2242347469. The next prime is 2242347493. The reversal of 2242347492 is 2947432422.

It is a happy number.

It is a super-4 number, since 4×22423474924 (a number of 39 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2242347492.

It is not an unprimeable number, because it can be changed into a prime (2242347493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83392 + ... + 106952.

It is an arithmetic number, because the mean of its divisors is an integer number (68612544).

Almost surely, 22242347492 is an apocalyptic number.

2242347492 is a gapful number since it is divisible by the number (22) 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 2242347492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293402112).

2242347492 is an abundant number, since it is smaller than the sum of its proper divisors (4344456732).

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

2242347492 is a wasteful number, since it uses less digits than its factorization.

2242347492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23689 (or 23687 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 2242347492 is about 47353.4316813470. The cubic root of 2242347492 is about 1308.8834360472.

The spelling of 2242347492 in words is "two billion, two hundred forty-two million, three hundred forty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 103 132 154 206 231 308 309 412 462 618 721 924 1133 1236 1442 2163 2266 2884 3399 4326 4532 6798 7931 8652 13596 15862 23561 23793 31724 47122 47586 70683 94244 95172 141366 164927 259171 282732 329854 494781 518342 659708 777513 989562 1036684 1555026 1814197 1979124 2426783 3110052 3628394 4853566 5442591 7256788 7280349 9707132 10885182 14560698 16987481 21770364 26694613 29121396 33974962 50962443 53389226 67949924 80083839 101924886 106778452 160167678 186862291 203849772 320335356 373724582 560586873 747449164 1121173746 2242347492