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2252730240 = 27325419539
BaseRepresentation
bin1000011001000101…
…1110111110000000
312210222220112221100
42012101132332000
514103144331430
61011311454400
7106552614435
oct20621367600
95728815840
102252730240
11a56675632
1252a527400
1329b934697
14175285b8c
15d2b85960
hex8645ef80

2252730240 has 192 divisors, whose sum is σ = 7969525200. Its totient is φ = 586014720.

The previous prime is 2252730203. The next prime is 2252730283. The reversal of 2252730240 is 420372522.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231391 + ... + 240929.

Almost surely, 22252730240 is an apocalyptic number.

2252730240 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 2252730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984762600).

2252730240 is an abundant number, since it is smaller than the sum of its proper divisors (5716794960).

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

2252730240 is a wasteful number, since it uses less digits than its factorization.

2252730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9605 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2252730240 is about 47462.9354338730. The cubic root of 2252730240 is about 1310.9005016064.

The spelling of 2252730240 in words is "two billion, two hundred fifty-two million, seven hundred thirty thousand, two hundred forty".