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2305214032 = 241146328289
BaseRepresentation
bin1000100101100110…
…1100011001010000
312221122200000011111
42021121230121100
514210113322112
61020424423104
7111060665422
oct21131543120
95848600144
102305214032
11a83262470
12544017a94
132a977c494
1417c228812
15d75a15a7
hex8966c650

2305214032 has 40 divisors (see below), whose sum is σ = 4883080320. Its totient is φ = 1045524480.

The previous prime is 2305214027. The next prime is 2305214063. The reversal of 2305214032 is 2304125032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2305213994 and 2305214012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67344 + ... + 95632.

It is an arithmetic number, because the mean of its divisors is an integer number (122077008).

Almost surely, 22305214032 is an apocalyptic number.

2305214032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2305214032 is an abundant number, since it is smaller than the sum of its proper divisors (2577866288).

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

2305214032 is a wasteful number, since it uses less digits than its factorization.

2305214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28771 (or 28765 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2305214032 is about 48012.6445012145. The cubic root of 2305214032 is about 1321.0028406148.

Adding to 2305214032 its reverse (2304125032), we get a palindrome (4609339064).

The spelling of 2305214032 in words is "two billion, three hundred five million, two hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 463 926 1852 3704 5093 7408 10186 20372 28289 40744 56578 81488 113156 226312 311179 452624 622358 1244716 2489432 4978864 13097807 26195614 52391228 104782456 144075877 209564912 288151754 576303508 1152607016 2305214032