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2273754240 = 27345231907
BaseRepresentation
bin1000011110000110…
…1011110010000000
312212110110200110000
42013201223302000
514124040113430
61013342240000
7110226410052
oct20741536200
95773420400
102273754240
11a6752523a
12535586000
132a30b5c14
14177d998d2
15d4939e60
hex8786bc80

2273754240 has 320 divisors, whose sum is σ = 8477472960. Its totient is φ = 579667968.

The previous prime is 2273754211. The next prime is 2273754253. The reversal of 2273754240 is 424573722.

It is a happy number.

2273754240 is a `hidden beast` number, since 2 + 2 + 73 + 7 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 2273754195 and 2273754204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1191367 + ... + 1193273.

It is an arithmetic number, because the mean of its divisors is an integer number (26492103).

Almost surely, 22273754240 is an apocalyptic number.

2273754240 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 2273754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238736480).

2273754240 is an abundant number, since it is smaller than the sum of its proper divisors (6203718720).

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

2273754240 is a wasteful number, since it uses less digits than its factorization.

2273754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2273754240 is about 47683.8991694262. The cubic root of 2273754240 is about 1314.9659501465.

The spelling of 2273754240 in words is "two billion, two hundred seventy-three million, seven hundred fifty-four thousand, two hundred forty".