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2296428480 = 263257191109
BaseRepresentation
bin1000100011100000…
…1011011111000000
312221001010122122200
42020320023133000
514200341202410
61015512233200
7110623214523
oct21070133700
95831118580
102296428480
11a79301785
1254109b800
132a79c4628
1417adbcbba
15d69183c0
hex88e0b7c0

2296428480 has 168 divisors, whose sum is σ = 7916875200. Its totient is φ = 610977792.

The previous prime is 2296428457. The next prime is 2296428499. The reversal of 2296428480 is 848246922.

2296428480 is a `hidden beast` number, since 2 + 296 + 4 + 284 + 80 = 666.

It is a super-2 number, since 2×22964284802 = 10547167527510220800, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070166 + ... + 2071274.

Almost surely, 22296428480 is an apocalyptic number.

2296428480 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 2296428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958437600).

2296428480 is an abundant number, since it is smaller than the sum of its proper divisors (5620446720).

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

2296428480 is a wasteful number, since it uses less digits than its factorization.

2296428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2296428480 is about 47921.0650966775. The cubic root of 2296428480 is about 1319.3225173591.

The spelling of 2296428480 in words is "two billion, two hundred ninety-six million, four hundred twenty-eight thousand, four hundred eighty".