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2240745696 = 2532721961137
BaseRepresentation
bin1000010110001111…
…0001000011100000
312210011100200020100
42011203301003200
514042112330241
61010202542400
7106346011200
oct20543610340
95704320210
102240745696
11a4a92a452
12526507a00
132992c9737
14173846400
15d1ab99b6
hex858f10e0

2240745696 has 432 divisors, whose sum is σ = 7988394960. Its totient is φ = 592220160.

The previous prime is 2240745679. The next prime is 2240745763. The reversal of 2240745696 is 6965470422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16355740 + ... + 16355876.

It is an arithmetic number, because the mean of its divisors is an integer number (18491655).

Almost surely, 22240745696 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 2240745696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994197480).

2240745696 is an abundant number, since it is smaller than the sum of its proper divisors (5747649264).

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

2240745696 is a wasteful number, since it uses less digits than its factorization.

2240745696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2240745696 is about 47336.5154611110. The cubic root of 2240745696 is about 1308.5716996969.

The spelling of 2240745696 in words is "two billion, two hundred forty million, seven hundred forty-five thousand, six hundred ninety-six".