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2296869120 = 283257213313
BaseRepresentation
bin1000100011100111…
…0111000100000000
312221001222001002200
42020321313010000
514200444302440
61015525513200
7110630031300
oct21071670400
95831861080
102296869120
11a79582847
12541272800
132a7b1a070
1417b095600
15d69a3c30
hex88e77100

2296869120 has 648 divisors, whose sum is σ = 9987298776. Its totient is φ = 483065856.

The previous prime is 2296869119. The next prime is 2296869137. The reversal of 2296869120 is 219686922.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 2181263616 = 10752^2 + 46704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338084 + ... + 7338396.

Almost surely, 22296869120 is an apocalyptic number.

2296869120 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 2296869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993649388).

2296869120 is an abundant number, since it is smaller than the sum of its proper divisors (7690429656).

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

2296869120 is a wasteful number, since it uses less digits than its factorization.

2296869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2296869120 is about 47925.6624367363. The cubic root of 2296869120 is about 1319.4068960802.

The spelling of 2296869120 in words is "two billion, two hundred ninety-six million, eight hundred sixty-nine thousand, one hundred twenty".