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2287655040 = 273511243229
BaseRepresentation
bin1000100001011010…
…1101100010000000
312220102121220202110
42020112231202000
514141114430130
61015000215320
7110455514136
oct21026554200
95812556673
102287655040
11a7435a100
1253a16a540
132a5c42148
14179b77756
15d5c83ab0
hex885ad880

2287655040 has 384 divisors, whose sum is σ = 8237275200. Its totient is φ = 539320320.

The previous prime is 2287655023. The next prime is 2287655063. The reversal of 2287655040 is 405567822.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2287655040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9989646 + ... + 9989874.

Almost surely, 22287655040 is an apocalyptic number.

2287655040 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 2287655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118637600).

2287655040 is an abundant number, since it is smaller than the sum of its proper divisors (5949620160).

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

2287655040 is a wasteful number, since it uses less digits than its factorization.

2287655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2287655040 is about 47829.4369609344. The cubic root of 2287655040 is about 1317.6402283810.

The spelling of 2287655040 in words is "two billion, two hundred eighty-seven million, six hundred fifty-five thousand, forty".