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2291246496 = 2532711277373
BaseRepresentation
bin1000100010010001…
…1010010110100000
312220200101101022100
42020210122112200
514143024341441
61015205210400
7110531162640
oct21044322640
95820341270
102291246496
11a76392450
1253b400a00
132a68cba76
1417a430520
15d6242cb6
hex8891a5a0

2291246496 has 288 divisors, whose sum is σ = 8174694528. Its totient is φ = 591390720.

The previous prime is 2291246479. The next prime is 2291246563. The reversal of 2291246496 is 6946421922.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 6142566 + ... + 6142938.

It is an arithmetic number, because the mean of its divisors is an integer number (28384356).

Almost surely, 22291246496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2291246496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087347264).

2291246496 is an abundant number, since it is smaller than the sum of its proper divisors (5883448032).

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

2291246496 is a wasteful number, since it uses less digits than its factorization.

2291246496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2291246496 is about 47866.9666471566. The cubic root of 2291246496 is about 1318.3294017264.

The spelling of 2291246496 in words is "two billion, two hundred ninety-one million, two hundred forty-six thousand, four hundred ninety-six".