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2296003248 = 2432711533907
BaseRepresentation
bin1000100011011010…
…0011101010110000
312221000100001100100
42020312203222300
514200234100443
61015455152400
7110616464010
oct21066435260
95830301310
102296003248
11a79041250
12540b15700
132a78a5c06
1417ad0bc40
15d68823d3
hex88da3ab0

2296003248 has 240 divisors, whose sum is σ = 8164406016. Its totient is φ = 584962560.

The previous prime is 2296003247. The next prime is 2296003253. The reversal of 2296003248 is 8423006922.

2296003248 is a `hidden beast` number, since 2 + 2 + 9 + 600 + 3 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2296003243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585711 + ... + 589617.

Almost surely, 22296003248 is an apocalyptic number.

2296003248 is a gapful number since it is divisible by the number (28) 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 2296003248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082203008).

2296003248 is an abundant number, since it is smaller than the sum of its proper divisors (5868402768).

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

2296003248 is a wasteful number, since it uses less digits than its factorization.

2296003248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2296003248 is about 47916.6280950569. The cubic root of 2296003248 is about 1319.2410789009.

The spelling of 2296003248 in words is "two billion, two hundred ninety-six million, three thousand, two hundred forty-eight".