Search a number
-
+
2153006244 = 223519111597
BaseRepresentation
bin1000000001010100…
…0100010010100100
312120001021001100000
42000111010102210
513402132144434
6553350221300
7104232152064
oct20025042244
95501231300
102153006244
11a05352504
12501054830
132840896bc
14165d273a4
15c9037b99
hex805444a4

2153006244 has 72 divisors (see below), whose sum is σ = 5673927168. Its totient is φ = 713849760.

The previous prime is 2153006237. The next prime is 2153006267. The reversal of 2153006244 is 4426003512.

2153006244 is a `hidden beast` number, since 2 + 1 + 5 + 30 + 0 + 624 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179854 + ... + 191450.

It is an arithmetic number, because the mean of its divisors is an integer number (78804544).

Almost surely, 22153006244 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 2153006244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836963584).

2153006244 is an abundant number, since it is smaller than the sum of its proper divisors (3520920924).

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

2153006244 is a wasteful number, since it uses less digits than its factorization.

2153006244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11807 (or 11793 counting only the distinct ones).

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

The square root of 2153006244 is about 46400.4983162897. The cubic root of 2153006244 is about 1291.2641582733.

Adding to 2153006244 its reverse (4426003512), we get a palindrome (6579009756).

The spelling of 2153006244 in words is "two billion, one hundred fifty-three million, six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 243 324 382 486 573 764 972 1146 1719 2292 3438 5157 6876 10314 11597 15471 20628 23194 30942 34791 46388 46413 61884 69582 92826 104373 139164 185652 208746 313119 417492 626238 939357 1252476 1878714 2215027 2818071 3757428 4430054 5636142 6645081 8860108 11272284 13290162 19935243 26580324 39870486 59805729 79740972 119611458 179417187 239222916 358834374 538251561 717668748 1076503122 2153006244