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2263216320 = 26325785839
BaseRepresentation
bin1000011011100101…
…1111000011000000
312211201122022010200
42012321133003000
514113340410240
61012324325200
7110041010211
oct20671370300
95751568120
102263216320
11a61587a12
12531b43800
132a0b66571
14176815408
15d3a57930
hex86e5f0c0

2263216320 has 84 divisors (see below), whose sum is σ = 7784531040. Its totient is φ = 603523584.

The previous prime is 2263216309. The next prime is 2263216357. The reversal of 2263216320 is 236123622.

2263216320 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 21 + 632 + 0 = 666.

It is a super-2 number, since 2×22632163202 = 10244296222228684800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390040 + ... + 395799.

Almost surely, 22263216320 is an apocalyptic number.

2263216320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263216320 is an abundant number, since it is smaller than the sum of its proper divisors (5521314720).

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

2263216320 is a wasteful number, since it uses less digits than its factorization.

2263216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785862 (or 785849 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2263216320 is about 47573.2731688708. The cubic root of 2263216320 is about 1312.9313608003.

Adding to 2263216320 its reverse (236123622), we get a palindrome (2499339942).

The spelling of 2263216320 in words is "two billion, two hundred sixty-three million, two hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 785839 1571678 2357517 3143356 3929195 4715034 6286712 7072551 7858390 9430068 11787585 12573424 14145102 15716780 18860136 23575170 25146848 28290204 31433560 35362755 37720272 47150340 50293696 56580408 62867120 70725510 75440544 94300680 113160816 125734240 141451020 150881088 188601360 226321632 251468480 282902040 377202720 452643264 565804080 754405440 1131608160 2263216320