Search a number
-
+
2225151344 = 241324120071
BaseRepresentation
bin1000010010100001…
…0001110101110000
312202002000101210202
42010220101311300
514024114320334
61004444414332
7106066321463
oct20450216560
95662011722
102225151344
11a42049159
125212473a8
13295cc9700
141717472da
15d053917e
hex84a11d70

2225151344 has 60 divisors (see below), whose sum is σ = 4782475152. Its totient is φ = 1001894400.

The previous prime is 2225151343. The next prime is 2225151347. The reversal of 2225151344 is 4431515222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225151343) 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, 100829 + ... + 120899.

Almost surely, 22225151344 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 2225151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391237576).

2225151344 is an abundant number, since it is smaller than the sum of its proper divisors (2557323808).

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

2225151344 is a wasteful number, since it uses less digits than its factorization.

2225151344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20146 (or 20127 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 2225151344 is about 47171.5098761954. The cubic root of 2225151344 is about 1305.5289848627.

Adding to 2225151344 its reverse (4431515222), we get a palindrome (6656666566).

The spelling of 2225151344 in words is "two billion, two hundred twenty-five million, one hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 533 656 676 1066 1352 2132 2704 4264 6929 8528 13858 20071 27716 40142 55432 80284 110864 160568 260923 321136 521846 822911 1043692 1645822 2087384 3291644 3391999 4174768 6583288 6783998 10697843 13166576 13567996 21395686 27135992 42791372 54271984 85582744 139071959 171165488 278143918 556287836 1112575672 2225151344