Search a number
-
+
2238720 = 28351153
BaseRepresentation
bin1000100010100100000000
311012201221120
420202210000
51033114340
6115552240
725012611
oct10424400
94181846
102238720
111299a90
128bb680
13604cb3
14423c08
152e34d0
hex222900

2238720 has 144 divisors (see below), whose sum is σ = 7947072. Its totient is φ = 532480.

The previous prime is 2238707. The next prime is 2238721. The reversal of 2238720 is 278322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 28 + 214 + 310 + 87 + 73 + 216 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2238721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42214 + ... + 42266.

It is an arithmetic number, because the mean of its divisors is an integer number (55188).

22238720 is an apocalyptic number.

2238720 is a gapful number since it is divisible by the number (20) 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 2238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973536).

2238720 is an abundant number, since it is smaller than the sum of its proper divisors (5708352).

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

2238720 is a wasteful number, since it uses less digits than its factorization.

2238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2238720 is about 1496.2352756168. The cubic root of 2238720 is about 130.8177252489.

The spelling of 2238720 in words is "two million, two hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 53 55 60 64 66 80 88 96 106 110 120 128 132 159 160 165 176 192 212 220 240 256 264 265 318 320 330 352 384 424 440 480 528 530 583 636 640 660 704 768 795 848 880 960 1056 1060 1166 1272 1280 1320 1408 1590 1696 1749 1760 1920 2112 2120 2332 2544 2640 2816 2915 3180 3392 3498 3520 3840 4224 4240 4664 5088 5280 5830 6360 6784 6996 7040 8448 8480 8745 9328 10176 10560 11660 12720 13568 13992 14080 16960 17490 18656 20352 21120 23320 25440 27984 33920 34980 37312 40704 42240 46640 50880 55968 67840 69960 74624 93280 101760 111936 139920 149248 186560 203520 223872 279840 373120 447744 559680 746240 1119360 2238720