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2296092960 = 253357210847
BaseRepresentation
bin1000100011011011…
…1001100100100000
312221000111121102000
42020312321210200
514200244433320
61015501124000
7110620316400
oct21066714440
95830447360
102296092960
11a790a2697
12540b59600
132a79079b5
1417ad32800
15d689dc90
hex88db9920

2296092960 has 288 divisors, whose sum is σ = 9349240320. Its totient is φ = 524772864.

The previous prime is 2296092959. The next prime is 2296092961. The reversal of 2296092960 is 692906922.

It is an interprime number because it is at equal distance from previous prime (2296092959) and next prime (2296092961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2296092961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 206257 + ... + 217103.

It is an arithmetic number, because the mean of its divisors is an integer number (32462640).

Almost surely, 22296092960 is an apocalyptic number.

2296092960 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 2296092960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674620160).

2296092960 is an abundant number, since it is smaller than the sum of its proper divisors (7053147360).

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

2296092960 is a wasteful number, since it uses less digits than its factorization.

2296092960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10885 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2296092960 is about 47917.5642118837. The cubic root of 2296092960 is about 1319.2582609634.

The spelling of 2296092960 in words is "two billion, two hundred ninety-six million, ninety-two thousand, nine hundred sixty".