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2122230312 = 233237796633
BaseRepresentation
bin111111001111110…
…1010101000101000
312110220100110200200
41332133222220220
513321242332222
6550330432200
7103406442246
oct17637525050
95426313620
102122230312
11999a42054
124b2892660
1327a8a24a7
14161bd5796
15c64a8eac
hex7e7eaa28

2122230312 has 48 divisors (see below), whose sum is σ = 5903057940. Its totient is φ = 688290048.

The previous prime is 2122230307. The next prime is 2122230323. The reversal of 2122230312 is 2130322212.

2122230312 is a `hidden beast` number, since 2 + 122 + 230 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1829615076 + 292615236 = 42774^2 + 17106^2 .

It is a super-2 number, since 2×21222303122 = 9007722994343234688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 395653 + ... + 400980.

Almost surely, 22122230312 is an apocalyptic number.

It is an amenable number.

2122230312 is an abundant number, since it is smaller than the sum of its proper divisors (3780827628).

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

2122230312 is a wasteful number, since it uses less digits than its factorization.

2122230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796682 (or 796675 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2122230312 is about 46067.6710069003. The cubic root of 2122230312 is about 1285.0819918714.

Adding to 2122230312 its reverse (2130322212), we get a palindrome (4252552524).

The spelling of 2122230312 in words is "two billion, one hundred twenty-two million, two hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 796633 1593266 2389899 3186532 4779798 6373064 7169697 9559596 14339394 19119192 28678788 29475421 57357576 58950842 88426263 117901684 176852526 235803368 265278789 353705052 530557578 707410104 1061115156 2122230312