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2306575840 = 255137105227
BaseRepresentation
bin1000100101111011…
…1000110111100000
312221202020012012211
42021132320313200
514210440411330
61020513531504
7111105366622
oct21136706740
95852205184
102306575840
11a84002628
12544573b94
132a9b3829a
1417c4a0c12
15d776ed2a
hex897b8de0

2306575840 has 48 divisors (see below), whose sum is σ = 5489113392. Its totient is φ = 915887104.

The previous prime is 2306575837. The next prime is 2306575849. The reversal of 2306575840 is 485756032.

2306575840 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 2306575793 and 2306575802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2306575849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30694 + ... + 74533.

It is an arithmetic number, because the mean of its divisors is an integer number (114356529).

Almost surely, 22306575840 is an apocalyptic number.

2306575840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306575840 is an abundant number, since it is smaller than the sum of its proper divisors (3182537552).

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

2306575840 is a wasteful number, since it uses less digits than its factorization.

2306575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105379 (or 105371 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2306575840 is about 48026.8241714982. The cubic root of 2306575840 is about 1321.2629174209.

The spelling of 2306575840 in words is "two billion, three hundred six million, five hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 105227 210454 420908 526135 841816 1052270 1683632 2104540 3367264 4209080 8418160 14416099 16836320 28832198 57664396 72080495 115328792 144160990 230657584 288321980 461315168 576643960 1153287920 2306575840