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2292878016 = 263511131031
BaseRepresentation
bin1000100010101010…
…1000101011000000
312220210110021100000
42020222220223000
514143434044031
61015304200000
7110551066362
oct21052505300
95823407300
102292878016
11a772a7210
1253ba69000
132a7050570
1417a736d32
15d64663e6
hex88aa8ac0

2292878016 has 336 divisors, whose sum is σ = 8014825728. Its totient is φ = 640742400.

The previous prime is 2292877927. The next prime is 2292878041. The reversal of 2292878016 is 6108782922.

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 47 ways as a sum of consecutive naturals, for example, 2223421 + ... + 2224451.

It is an arithmetic number, because the mean of its divisors is an integer number (23853648).

Almost surely, 22292878016 is an apocalyptic number.

2292878016 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 2292878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007412864).

2292878016 is an abundant number, since it is smaller than the sum of its proper divisors (5721947712).

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

2292878016 is a wasteful number, since it uses less digits than its factorization.

2292878016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2292878016 is about 47884.0058474643. The cubic root of 2292878016 is about 1318.6422402428.

The spelling of 2292878016 in words is "two billion, two hundred ninety-two million, eight hundred seventy-eight thousand, sixteen".