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2330917056 = 2632131718311
BaseRepresentation
bin1000101011101110…
…1111100011000000
320000110000212002100
42022323233203000
514233203321211
61023143350400
7111522316356
oct21273574300
96013025070
102330917056
11a96818536
12550752400
132b1bab680
141817d97d6
15d997c156
hex8aeef8c0

2330917056 has 168 divisors, whose sum is σ = 7618744224. Its totient is φ = 674979840.

The previous prime is 2330917003. The next prime is 2330917091. The reversal of 2330917056 is 6507190332.

2330917056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2330917056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118141 + ... + 136451.

It is an arithmetic number, because the mean of its divisors is an integer number (45349668).

Almost surely, 22330917056 is an apocalyptic number.

2330917056 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 2330917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809372112).

2330917056 is an abundant number, since it is smaller than the sum of its proper divisors (5287827168).

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

2330917056 is a wasteful number, since it uses less digits than its factorization.

2330917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359 (or 18346 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 2330917056 is about 48279.5718290873. The cubic root of 2330917056 is about 1325.8944108984.

The spelling of 2330917056 in words is "two billion, three hundred thirty million, nine hundred seventeen thousand, fifty-six".