[go: up one dir, main page]

Search a number
-
+
5662224 = 243417257
BaseRepresentation
bin10101100110011000010000
3101122200010000
4111212120100
52422142344
6321210000
766061641
oct25463020
911580100
105662224
113218127
121a90900
131233339
14a756c8
1576ca69
hex566610

5662224 has 100 divisors (see below), whose sum is σ = 17419644. Its totient is φ = 1769472.

The previous prime is 5662211. The next prime is 5662229. The reversal of 5662224 is 4222665.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 518400 = 2268^2 + 720^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5662229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21904 + ... + 22160.

Almost surely, 25662224 is an apocalyptic number.

5662224 is a gapful number since it is divisible by the number (54) 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 5662224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709822).

5662224 is an abundant number, since it is smaller than the sum of its proper divisors (11757420).

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

5662224 is a wasteful number, since it uses less digits than its factorization.

5662224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5662224 is about 2379.5428132311. The cubic root of 5662224 is about 178.2361046458.

Adding to 5662224 its reverse (4222665), we get a palindrome (9884889).

It can be divided in two parts, 5662 and 224, that added together give a triangular number (5886 = T108).

The spelling of 5662224 in words is "five million, six hundred sixty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 257 272 306 324 408 432 459 514 612 648 771 816 918 1028 1224 1296 1377 1542 1836 2056 2313 2448 2754 3084 3672 4112 4369 4626 5508 6168 6939 7344 8738 9252 11016 12336 13107 13878 17476 18504 20817 22032 26214 27756 34952 37008 39321 41634 52428 55512 69904 78642 83268 104856 111024 117963 157284 166536 209712 235926 314568 333072 353889 471852 629136 707778 943704 1415556 1887408 2831112 5662224