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2294383104 = 29331317751
BaseRepresentation
bin1000100011000001…
…1000001000000000
312220220021201221000
42020300120020000
514144330224404
61015400332000
7110566635366
oct21060301000
95826251830
102294383104
11a78134a92
12540474000
132a7459650
1417aa09636
15d6662339
hex88c18200

2294383104 has 320 divisors, whose sum is σ = 7754503680. Its totient is φ = 663552000.

The previous prime is 2294383099. The next prime is 2294383109. The reversal of 2294383104 is 4013834922.

It is an interprime number because it is at equal distance from previous prime (2294383099) and next prime (2294383109).

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 (2294383109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054729 + ... + 3055479.

It is an arithmetic number, because the mean of its divisors is an integer number (24232824).

Almost surely, 22294383104 is an apocalyptic number.

2294383104 is a gapful number since it is divisible by the number (24) 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 2294383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877251840).

2294383104 is an abundant number, since it is smaller than the sum of its proper divisors (5460120576).

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

2294383104 is a wasteful number, since it uses less digits than its factorization.

2294383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 786 counting only the distinct ones).

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

The square root of 2294383104 is about 47899.7192476115. The cubic root of 2294383104 is about 1318.9307042747.

The spelling of 2294383104 in words is "two billion, two hundred ninety-four million, three hundred eighty-three thousand, one hundred four".