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2332002144 = 25343564923
BaseRepresentation
bin1000101011111111…
…1000011101100000
320000112001222112210
42022333320131200
514233443032034
61023222522120
7111534456033
oct21277703540
96015058483
102332002144
11a973997aa
12550b96340
132b219b534
141819dd01a
15d9ae38e9
hex8aff8760

2332002144 has 48 divisors (see below), whose sum is σ = 6263877312. Its totient is φ = 759255168.

The previous prime is 2332002139. The next prime is 2332002151. The reversal of 2332002144 is 4412002332.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2332002144.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 278334 + ... + 286589.

It is an arithmetic number, because the mean of its divisors is an integer number (130497444).

Almost surely, 22332002144 is an apocalyptic number.

2332002144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2332002144 is an abundant number, since it is smaller than the sum of its proper divisors (3931875168).

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

2332002144 is a wasteful number, since it uses less digits than its factorization.

2332002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564979 (or 564971 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2332002144 is about 48290.8080694453. The cubic root of 2332002144 is about 1326.1001223398.

Adding to 2332002144 its reverse (4412002332), we get a palindrome (6744004476).

The spelling of 2332002144 in words is "two billion, three hundred thirty-two million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 564923 1129846 1694769 2259692 3389538 4519384 6779076 9038768 13558152 18077536 24291689 27116304 48583378 54232608 72875067 97166756 145750134 194333512 291500268 388667024 583000536 777334048 1166001072 2332002144