Search a number
-
+
2322727056 = 243313676173
BaseRepresentation
bin1000101001110010…
…0000000010010000
312222212121202112000
42022130200002100
514224104231211
61022252034000
7111362565666
oct21234400220
95885552460
102322727056
11a92134241
12549a62900
132b02a1910
141806a6c36
15d8db0656
hex8a720090

2322727056 has 160 divisors (see below), whose sum is σ = 7288283520. Its totient is φ = 703904256.

The previous prime is 2322727027. The next prime is 2322727093. The reversal of 2322727056 is 6507272232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2322727056.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373186 + ... + 379358.

It is an arithmetic number, because the mean of its divisors is an integer number (45551772).

Almost surely, 22322727056 is an apocalyptic number.

2322727056 is a gapful number since it is divisible by the number (26) 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 2322727056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644141760).

2322727056 is an abundant number, since it is smaller than the sum of its proper divisors (4965556464).

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

2322727056 is a wasteful number, since it uses less digits than its factorization.

2322727056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2322727056 is about 48194.6787104137. The cubic root of 2322727056 is about 1324.3396839909.

Adding to 2322727056 its reverse (6507272232), we get a palindrome (8829999288).

The spelling of 2322727056 in words is "two billion, three hundred twenty-two million, seven hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 104 108 117 134 144 156 201 208 216 234 268 312 351 402 432 468 536 603 624 702 804 871 936 1072 1206 1404 1608 1742 1809 1872 2412 2613 2808 3216 3484 3618 4824 5226 5616 6173 6968 7236 7839 9648 10452 12346 13936 14472 15678 18519 20904 23517 24692 28944 31356 37038 41808 47034 49384 55557 62712 74076 80249 94068 98768 111114 125424 148152 160498 166671 188136 222228 240747 296304 320996 333342 376272 413591 444456 481494 641992 666684 722241 827182 888912 962988 1240773 1283984 1333368 1444482 1654364 1925976 2166723 2481546 2666736 2888964 3308728 3722319 3851952 4333446 4963092 5376683 5777928 6617456 7444638 8666892 9926184 10753366 11166957 11555856 14889276 16130049 17333784 19852368 21506732 22333914 29778552 32260098 34667568 43013464 44667828 48390147 59557104 64520196 86026928 89335656 96780294 129040392 145170441 178671312 193560588 258080784 290340882 387121176 580681764 774242352 1161363528 2322727056