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2225523352 = 2313191378221
BaseRepresentation
bin1000010010100110…
…1100101010011000
312202002201022002211
42010221230222120
514024213221402
61004500404504
7106102431163
oct20451545230
95662638084
102225523352
11a422826a8
125213a6734
132960c9b30
14171802ada
15d05ae4d7
hex84a6ca98

2225523352 has 64 divisors (see below), whose sum is σ = 4765471200. Its totient is φ = 965882880.

The previous prime is 2225523341. The next prime is 2225523359. The reversal of 2225523352 is 2533255222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225523359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266602 + ... + 274822.

Almost surely, 22225523352 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 2225523352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382735600).

2225523352 is an abundant number, since it is smaller than the sum of its proper divisors (2539947848).

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

2225523352 is a wasteful number, since it uses less digits than its factorization.

2225523352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8392 counting only the distinct ones).

The product of its digits is 36000, while the sum is 31.

The square root of 2225523352 is about 47175.4528542122. The cubic root of 2225523352 is about 1305.6017349950.

Adding to 2225523352 its reverse (2533255222), we get a palindrome (4758778574).

The spelling of 2225523352 in words is "two billion, two hundred twenty-five million, five hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 137 152 247 274 494 548 988 1096 1781 1976 2603 3562 5206 7124 8221 10412 14248 16442 20824 32884 33839 65768 67678 106873 135356 156199 213746 270712 312398 427492 624796 854984 1126277 1249592 2030587 2252554 4061174 4505108 8122348 9010216 14641601 16244696 21399263 29283202 42798526 58566404 85597052 117132808 171194104 278190419 556380838 1112761676 2225523352