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2288494080 = 29335113293
BaseRepresentation
bin1000100001100111…
…1010011000000000
312220111012112201000
42020121322120000
514141323302310
61015030212000
7110465610255
oct21031723000
95814175630
102288494080
11a74882524
1253a4b4000
132a6177012
14179d1542c
15d5d9c4c0
hex8867a600

2288494080 has 320 divisors, whose sum is σ = 8228848320. Its totient is φ = 602800128.

The previous prime is 2288494073. The next prime is 2288494093. The reversal of 2288494080 is 804948822.

It is a happy number.

2288494080 is a `hidden beast` number, since 2 + 2 + 88 + 494 + 0 + 80 = 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 (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7810414 + ... + 7810706.

It is an arithmetic number, because the mean of its divisors is an integer number (25715151).

Almost surely, 22288494080 is an apocalyptic number.

2288494080 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 2288494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114424160).

2288494080 is an abundant number, since it is smaller than the sum of its proper divisors (5940354240).

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

2288494080 is a wasteful number, since it uses less digits than its factorization.

2288494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2288494080 is about 47838.2073242717. The cubic root of 2288494080 is about 1317.8012983711.

It can be divided in two parts, 22884 and 94080, that added together give a square (116964 = 3422).

The spelling of 2288494080 in words is "two billion, two hundred eighty-eight million, four hundred ninety-four thousand, eighty".