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2826223344 = 24327171311259
BaseRepresentation
bin1010100001110100…
…1011111011110000
321021222001000120200
42220131023323300
521242003121334
61144235435200
7130015334130
oct25035137360
97258030520
102826223344
11122036947a
1266a5b5b00
133606ac209
141cb4ccac0
151181b9799
hexa874bef0

2826223344 has 240 divisors, whose sum is σ = 9651882240. Its totient is φ = 753592320.

The previous prime is 2826223339. The next prime is 2826223363. The reversal of 2826223344 is 4433226282.

2826223344 is a `hidden beast` number, since 28 + 2 + 622 + 3 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2826223299 and 2826223308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244187 + ... + 2245445.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 22826223344 is an apocalyptic number.

2826223344 is a gapful number since it is divisible by the number (24) 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 2826223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825941120).

2826223344 is an abundant number, since it is smaller than the sum of its proper divisors (6825658896).

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

2826223344 is a wasteful number, since it uses less digits than its factorization.

2826223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1419 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2826223344 is about 53162.2360703535. The cubic root of 2826223344 is about 1413.8461701471.

The spelling of 2826223344 in words is "two billion, eight hundred twenty-six million, two hundred twenty-three thousand, three hundred forty-four".