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2296010880 = 273352353109
BaseRepresentation
bin1000100011011010…
…0101100010000000
312221000100102211000
42020312211202000
514200234322010
61015455252000
7110616525162
oct21066454200
95830312730
102296010880
11a79046a59
12540b1a000
132a78a9527
1417ad10932
15d68847c0
hex88da5880

2296010880 has 512 divisors, whose sum is σ = 8724672000. Its totient is φ = 569327616.

The previous prime is 2296010869. The next prime is 2296010887. The reversal of 2296010880 is 880106922.

It is a super-2 number, since 2×22960108802 = 10543331922156748800, which contains 22 as substring.

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 (2296010887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21064266 + ... + 21064374.

It is an arithmetic number, because the mean of its divisors is an integer number (17040375).

Almost surely, 22296010880 is an apocalyptic number.

2296010880 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 2296010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362336000).

2296010880 is an abundant number, since it is smaller than the sum of its proper divisors (6428661120).

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

2296010880 is a wasteful number, since it uses less digits than its factorization.

2296010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2296010880 is about 47916.7077333157. The cubic root of 2296010880 is about 1319.2425406347.

The spelling of 2296010880 in words is "two billion, two hundred ninety-six million, ten thousand, eight hundred eighty".