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2291290848 = 2533711231101
BaseRepresentation
bin1000100010010010…
…0101001011100000
312220200110122011000
42020210211023200
514143032301343
61015210152000
7110531436150
oct21044451340
95820418130
102291290848
11a76412800
1253b422600
132a6916002
1417a442760
15d6250ed3
hex889252e0

2291290848 has 576 divisors, whose sum is σ = 8751697920. Its totient is φ = 570240000.

The previous prime is 2291290829. The next prime is 2291290867. The reversal of 2291290848 is 8480921922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2291290829) and next prime (2291290867).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22685998 + ... + 22686098.

It is an arithmetic number, because the mean of its divisors is an integer number (15193920).

Almost surely, 22291290848 is an apocalyptic number.

2291290848 is a gapful number since it is divisible by the number (28) 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 2291290848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960).

2291290848 is an abundant number, since it is smaller than the sum of its proper divisors (6460407072).

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

2291290848 is a wasteful number, since it uses less digits than its factorization.

2291290848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2291290848 is about 47867.4299289193. The cubic root of 2291290848 is about 1318.3379080377.

The spelling of 2291290848 in words is "two billion, two hundred ninety-one million, two hundred ninety thousand, eight hundred forty-eight".