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2330056144 = 241316767079
BaseRepresentation
bin1000101011100001…
…1101010111010000
320000101102010010201
42022320131113100
514232443244034
61023113104544
7111512102413
oct21270352720
96011363121
102330056144
11a9628a739
125503b8154
132b1969860
14181653b7a
15d985c014
hex8ae1d5d0

2330056144 has 40 divisors (see below), whose sum is σ = 4890936960. Its totient is φ = 1068955008.

The previous prime is 2330056139. The next prime is 2330056181. The reversal of 2330056144 is 4416500332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 68275.

It is an arithmetic number, because the mean of its divisors is an integer number (122273424).

Almost surely, 22330056144 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 2330056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445468480).

2330056144 is an abundant number, since it is smaller than the sum of its proper divisors (2560880816).

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

2330056144 is a wasteful number, since it uses less digits than its factorization.

2330056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67267 (or 67261 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2330056144 is about 48270.6551022461. The cubic root of 2330056144 is about 1325.7311534131.

Adding to 2330056144 its reverse (4416500332), we get a palindrome (6746556476).

The spelling of 2330056144 in words is "two billion, three hundred thirty million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1336 2171 2672 4342 8684 17368 34736 67079 134158 268316 536632 872027 1073264 1744054 3488108 6976216 11202193 13952432 22404386 44808772 89617544 145628509 179235088 291257018 582514036 1165028072 2330056144