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2291922864 = 2434721117193
BaseRepresentation
bin1000100010011011…
…1111011110110000
312220201122202010000
42020212333132300
514143213012424
61015231510000
7110540010600
oct21046773660
95821582100
102291922864
11a76804630
1253b688300
132a6aa789a
1417a568c00
15d63283c9
hex889bf7b0

2291922864 has 600 divisors, whose sum is σ = 8959368528. Its totient is φ = 557383680.

The previous prime is 2291922851. The next prime is 2291922911. The reversal of 2291922864 is 4682291922.

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11875152 + ... + 11875344.

Almost surely, 22291922864 is an apocalyptic number.

2291922864 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 2291922864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479684264).

2291922864 is an abundant number, since it is smaller than the sum of its proper divisors (6667445664).

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

2291922864 is a wasteful number, since it uses less digits than its factorization.

2291922864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 2291922864 is about 47874.0312069080. The cubic root of 2291922864 is about 1318.4591110493.

The spelling of 2291922864 in words is "two billion, two hundred ninety-one million, nine hundred twenty-two thousand, eight hundred sixty-four".