Search a number
-
+
2663136224 = 257171793907
BaseRepresentation
bin1001111010111100…
…0011101111100000
320212121011100002222
42132233003233200
520423230324344
61120132130212
7122665166360
oct23657035740
96777140088
102663136224
1111472a8731
12623a66968
1333597a568
141b39989a0
15108c025ee
hex9ebc3be0

2663136224 has 96 divisors (see below), whose sum is σ = 6381607680. Its totient is φ = 1067931648.

The previous prime is 2663136191. The next prime is 2663136227. The reversal of 2663136224 is 4226313662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663136227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679679 + ... + 683585.

It is an arithmetic number, because the mean of its divisors is an integer number (66475080).

Almost surely, 22663136224 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 2663136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190803840).

2663136224 is an abundant number, since it is smaller than the sum of its proper divisors (3718471456).

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

2663136224 is a wasteful number, since it uses less digits than its factorization.

2663136224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4112 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 2663136224 is about 51605.5832638291. The cubic root of 2663136224 is about 1386.1103103811.

Adding to 2663136224 its reverse (4226313662), we get a palindrome (6889449886).

The spelling of 2663136224 in words is "two billion, six hundred sixty-three million, one hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 179 224 238 272 358 476 544 716 952 1253 1432 1904 2506 2864 3043 3808 3907 5012 5728 6086 7814 10024 12172 15628 20048 21301 24344 27349 31256 40096 42602 48688 54698 62512 66419 85204 97376 109396 125024 132838 170408 218792 265676 340816 437584 464933 531352 681632 699353 875168 929866 1062704 1398706 1859732 2125408 2797412 3719464 4895471 5594824 7438928 9790942 11189648 11889001 14877856 19581884 22379296 23778002 39163768 47556004 78327536 83223007 95112008 156655072 166446014 190224016 332892028 380448032 665784056 1331568112 2663136224