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2296283136 = 215374771
BaseRepresentation
bin1000100011011110…
…1000000000000000
312221000212021021120
42020313220000000
514200322030021
61015505152240
7110622041010
oct21067500000
95830767246
102296283136
11a79212564
1254102b680
132a7973424
1417ad81c40
15d68da2c6
hex88de8000

2296283136 has 256 divisors, whose sum is σ = 7247646720. Its totient is φ = 633077760.

The previous prime is 2296283111. The next prime is 2296283137. The reversal of 2296283136 is 6313826922.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2296283137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32341981 + ... + 32342051.

It is an arithmetic number, because the mean of its divisors is an integer number (28311120).

Almost surely, 22296283136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623823360).

2296283136 is an abundant number, since it is smaller than the sum of its proper divisors (4951363584).

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

2296283136 is an frugal number, since it uses more digits than its factorization.

2296283136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 2296283136 is about 47919.5485788420. The cubic root of 2296283136 is about 1319.2946828820.

The spelling of 2296283136 in words is "two billion, two hundred ninety-six million, two hundred eighty-three thousand, one hundred thirty-six".