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2225524000 = 25537611303
BaseRepresentation
bin1000010010100110…
…1100110100100000
312202002201022222211
42010221230310200
514024213232000
61004500411504
7106102433110
oct20451546440
95662638884
102225524000
11a42283137
125213a6b94
132960ca20b
14171803040
15d05ae7ba
hex84a6cd20

2225524000 has 192 divisors, whose sum is σ = 6356593152. Its totient is φ = 749952000.

The previous prime is 2225523967. The next prime is 2225524019. The reversal of 2225524000 is 4255222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707349 + ... + 1708651.

It is an arithmetic number, because the mean of its divisors is an integer number (33107256).

Almost surely, 22225524000 is an apocalyptic number.

2225524000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178296576).

2225524000 is an abundant number, since it is smaller than the sum of its proper divisors (4131069152).

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

2225524000 is a wasteful number, since it uses less digits than its factorization.

2225524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 2225524000 is about 47175.4597221903. The cubic root of 2225524000 is about 1305.6018617112.

Adding to 2225524000 its reverse (4255222), we get a palindrome (2229779222).

The spelling of 2225524000 in words is "two billion, two hundred twenty-five million, five hundred twenty-four thousand".