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2288003904 = 263267101587
BaseRepresentation
bin1000100001100000…
…0010101101000000
312220110021122022100
42020120002231000
514141212111104
61015011510400
7110461466214
oct21030025500
95813248270
102288003904
11a7457821a
1253a2b8400
132a6034b84
14179c28944
15d5d02139
hex88602b40

2288003904 has 168 divisors, whose sum is σ = 6733385568. Its totient is φ = 742579200.

The previous prime is 2288003863. The next prime is 2288003909. The reversal of 2288003904 is 4093008822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288003909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897499 + ... + 3898085.

It is an arithmetic number, because the mean of its divisors is an integer number (40079676).

Almost surely, 22288003904 is an apocalyptic number.

2288003904 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 2288003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366692784).

2288003904 is an abundant number, since it is smaller than the sum of its proper divisors (4445381664).

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

2288003904 is a wasteful number, since it uses less digits than its factorization.

2288003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2288003904 is about 47833.0837809983. The cubic root of 2288003904 is about 1317.7072043699.

The spelling of 2288003904 in words is "two billion, two hundred eighty-eight million, three thousand, nine hundred four".