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2889222336 = 2632711135011
BaseRepresentation
bin1010110000110110…
…0000100011000000
321110100120200221200
42230031200203000
521404120103321
61154410021200
7131411661510
oct25415404300
97410520850
102889222336
111252988560
12687717800
13370769220
141d5a0b840
1511d9b0d26
hexac3608c0

2889222336 has 336 divisors, whose sum is σ = 11121347328. Its totient is φ = 692582400.

The previous prime is 2889222313. The next prime is 2889222359. The reversal of 2889222336 is 6332229882.

It is an interprime number because it is at equal distance from previous prime (2889222313) and next prime (2889222359).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2889222291 and 2889222300.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 574071 + ... + 579081.

It is an arithmetic number, because the mean of its divisors is an integer number (33099248).

Almost surely, 22889222336 is an apocalyptic number.

2889222336 is a gapful number since it is divisible by the number (26) 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 2889222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560673664).

2889222336 is an abundant number, since it is smaller than the sum of its proper divisors (8232124992).

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

2889222336 is a wasteful number, since it uses less digits than its factorization.

2889222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5047 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2889222336 is about 53751.4868259474. The cubic root of 2889222336 is about 1424.2743548307.

The spelling of 2889222336 in words is "two billion, eight hundred eighty-nine million, two hundred twenty-two thousand, three hundred thirty-six".