Search a number
-
+
2225134624 = 251715726053
BaseRepresentation
bin1000010010100000…
…1101110000100000
312202001222112212111
42010220031300200
514024113301444
61004444205104
7106066221646
oct20450156040
95661875774
102225134624
11a42037639
12521239794
13295cc1c0b
14171741196
15d0534234
hex84a0dc20

2225134624 has 48 divisors (see below), whose sum is σ = 4668147288. Its totient is φ = 1040412672.

The previous prime is 2225134589. The next prime is 2225134627. The reversal of 2225134624 is 4264315222.

It can be written as a sum of positive squares in 4 ways, for example, as 2165227024 + 59907600 = 46532^2 + 7740^2 .

It is not an unprimeable number, because it can be changed into a prime (2225134627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72382 + ... + 98434.

Almost surely, 22225134624 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 2225134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334073644).

2225134624 is an abundant number, since it is smaller than the sum of its proper divisors (2443012664).

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

2225134624 is a wasteful number, since it uses less digits than its factorization.

2225134624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26237 (or 26229 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 2225134624 is about 47171.3326502443. The cubic root of 2225134624 is about 1305.5257148979.

Adding to 2225134624 its reverse (4264315222), we get a palindrome (6489449846).

The spelling of 2225134624 in words is "two billion, two hundred twenty-five million, one hundred thirty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 157 272 314 544 628 1256 2512 2669 5024 5338 10676 21352 26053 42704 52106 85408 104212 208424 416848 442901 833696 885802 1771604 3543208 4090321 7086416 8180642 14172832 16361284 32722568 65445136 69535457 130890272 139070914 278141828 556283656 1112567312 2225134624