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2305216920 = 233537519193
BaseRepresentation
bin1000100101100110…
…1101000110011000
312221122200011010110
42021121231012120
514210113420140
61020424444320
7111061010016
oct21131550630
95848604113
102305216920
11a83264656
125440196a0
132a97808a6
1417c2298b6
15d75a2380
hex8966d198

2305216920 has 64 divisors (see below), whose sum is σ = 7102573920. Its totient is φ = 598109184.

The previous prime is 2305216891. The next prime is 2305216961. The reversal of 2305216920 is 296125032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255157 + ... + 264036.

Almost surely, 22305216920 is an apocalyptic number.

2305216920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305216920 is an abundant number, since it is smaller than the sum of its proper divisors (4797357000).

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

2305216920 is a wasteful number, since it uses less digits than its factorization.

2305216920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519244 (or 519240 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2305216920 is about 48012.6745766157. The cubic root of 2305216920 is about 1321.0033922707.

The spelling of 2305216920 in words is "two billion, three hundred five million, two hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 519193 1038386 1557579 2076772 2595965 3115158 4153544 5191930 6230316 7787895 10383860 12460632 15575790 19210141 20767720 31151580 38420282 57630423 62303160 76840564 96050705 115260846 153681128 192101410 230521692 288152115 384202820 461043384 576304230 768405640 1152608460 2305216920