Search a number
-
+
2215113152 = 26725119699
BaseRepresentation
bin1000010000000111…
…1111000111000000
312201101010101222212
42010001333013000
514014032110102
61003445321252
7105615102560
oct20401770700
95641111885
102215113152
11a3741232a
12519a06228
13293bc3655
14170292da0
15ce704c52
hex8407f1c0

2215113152 has 56 divisors (see below), whose sum is σ = 5043830400. Its totient is φ = 945504000.

The previous prime is 2215113143. The next prime is 2215113163. The reversal of 2215113152 is 2513115122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102599 + ... + 122297.

It is an arithmetic number, because the mean of its divisors is an integer number (90068400).

Almost surely, 22215113152 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 2215113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521915200).

2215113152 is an abundant number, since it is smaller than the sum of its proper divisors (2828717248).

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

2215113152 is a wasteful number, since it uses less digits than its factorization.

2215113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19969 (or 19959 counting only the distinct ones).

The product of its digits is 600, while the sum is 23.

The square root of 2215113152 is about 47064.9886008698. The cubic root of 2215113152 is about 1303.5628404004.

Adding to 2215113152 its reverse (2513115122), we get a palindrome (4728228274).

The spelling of 2215113152 in words is "two billion, two hundred fifteen million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1757 2008 3514 4016 7028 8032 14056 16064 19699 28112 39398 56224 78796 112448 137893 157592 275786 315184 551572 630368 1103144 1260736 2206288 4412576 4944449 8825152 9888898 19777796 34611143 39555592 69222286 79111184 138444572 158222368 276889144 316444736 553778288 1107556576 2215113152