Search a number
-
+
2483223552 = 210322111277
BaseRepresentation
bin1001010000000010…
…1111110000000000
320102001121211022200
42110000233300000
520041201123202
61050224033200
7115352023545
oct22400576000
96361554280
102483223552
111064795677
12593762800
13307607364
14197b24bcc
15e8014e1c
hex9402fc00

2483223552 has 132 divisors (see below), whose sum is σ = 7209877896. Its totient is φ = 823173120.

The previous prime is 2483223551. The next prime is 2483223577. The reversal of 2483223552 is 2553223842.

2483223552 is a `hidden beast` number, since 2 + 4 + 83 + 2 + 23 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483223551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1943938 + ... + 1945214.

Almost surely, 22483223552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2483223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604938948).

2483223552 is an abundant number, since it is smaller than the sum of its proper divisors (4726654344).

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

2483223552 is a wasteful number, since it uses less digits than its factorization.

2483223552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1493 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2483223552 is about 49831.9531224695. The cubic root of 2483223552 is about 1354.1661062831.

It can be divided in two parts, 24832 and 23552, that added together give a palindrome (48384).

The spelling of 2483223552 in words is "two billion, four hundred eighty-three million, two hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 256 288 384 422 512 576 633 768 844 1024 1152 1266 1277 1536 1688 1899 2304 2532 2554 3072 3376 3798 3831 4608 5064 5108 6752 7596 7662 9216 10128 10216 11493 13504 15192 15324 20256 20432 22986 27008 30384 30648 40512 40864 45972 54016 60768 61296 81024 81728 91944 108032 121536 122592 162048 163456 183888 216064 243072 245184 269447 324096 326912 367776 486144 490368 538894 648192 653824 735552 808341 972288 980736 1077788 1307648 1471104 1616682 1944576 1961472 2155576 2425023 2942208 3233364 3922944 4311152 4850046 5884416 6466728 8622304 9700092 11768832 12933456 17244608 19400184 25866912 34489216 38800368 51733824 68978432 77600736 103467648 137956864 155201472 206935296 275913728 310402944 413870592 620805888 827741184 1241611776 2483223552