Search a number
-
+
1224230520 = 2335174391367
BaseRepresentation
bin100100011111000…
…0100011001111000
310011022121100120010
41020332010121320
510001400334040
6321251301520
742223534122
oct11076043170
93138540503
101224230520
11579056567
122a1baa8a0
13166829376
14b883a212
1572724e80
hex48f84678

1224230520 has 128 divisors (see below), whose sum is σ = 3900441600. Its totient is φ = 306333696.

The previous prime is 1224230519. The next prime is 1224230543. The reversal of 1224230520 is 250324221.

It is a congruent number.

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, 894877 + ... + 896243.

It is an arithmetic number, because the mean of its divisors is an integer number (30472200).

Almost surely, 21224230520 is an apocalyptic number.

1224230520 is a gapful number since it is divisible by the number (10) 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 1224230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950220800).

1224230520 is an abundant number, since it is smaller than the sum of its proper divisors (2676211080).

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

1224230520 is a wasteful number, since it uses less digits than its factorization.

1224230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1224230520 is about 34989.0057017915. The cubic root of 1224230520 is about 1069.7633971860.

Adding to 1224230520 its reverse (250324221), we get a palindrome (1474554741).

The spelling of 1224230520 in words is "one billion, two hundred twenty-four million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 439 510 680 878 1020 1317 1367 1756 2040 2195 2634 2734 3512 4101 4390 5268 5468 6585 6835 7463 8202 8780 10536 10936 13170 13670 14926 16404 17560 20505 22389 23239 26340 27340 29852 32808 37315 41010 44778 46478 52680 54680 59704 69717 74630 82020 89556 92956 111945 116195 139434 149260 164040 179112 185912 223890 232390 278868 298520 348585 447780 464780 557736 600113 697170 895560 929560 1200226 1394340 1800339 2400452 2788680 3000565 3600678 4800904 6001130 7201356 9001695 10201921 12002260 14402712 18003390 20403842 24004520 30605763 36006780 40807684 51009605 61211526 72013560 81615368 102019210 122423052 153028815 204038420 244846104 306057630 408076840 612115260 1224230520