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2122312230 = 232537673947
BaseRepresentation
bin111111001111111…
…1110101000100110
312110220111122001200
41332133332220212
513321302442410
6550332303330
7103410233133
oct17637765046
95426448050
102122312230
11999a98655
124b2911b46
1327a90086c
14161c1758a
15c64c33c0
hex7e7fea26

2122312230 has 96 divisors (see below), whose sum is σ = 5681561184. Its totient is φ = 549255168.

The previous prime is 2122312223. The next prime is 2122312243. The reversal of 2122312230 is 322132212.

2122312230 is a `hidden beast` number, since 2 + 122 + 312 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2240617 + ... + 2241563.

It is an arithmetic number, because the mean of its divisors is an integer number (59182929).

Almost surely, 22122312230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840780592).

2122312230 is an abundant number, since it is smaller than the sum of its proper divisors (3559248954).

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

2122312230 is a wasteful number, since it uses less digits than its factorization.

2122312230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1667 counting only the distinct ones).

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

The square root of 2122312230 is about 46068.5601033937. The cubic root of 2122312230 is about 1285.0985263621.

Adding to 2122312230 its reverse (322132212), we get a palindrome (2444444442).

The spelling of 2122312230 in words is "two billion, one hundred twenty-two million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 673 947 1110 1346 1665 1894 2019 2841 3330 3365 4038 4735 5682 6057 6730 8523 9470 10095 12114 14205 17046 20190 24901 28410 30285 35039 42615 49802 60570 70078 74703 85230 105117 124505 149406 175195 210234 224109 249010 315351 350390 373515 448218 525585 630702 637331 747030 1051170 1120545 1274662 1576755 1911993 2241090 3153510 3186655 3823986 5735979 6373310 9559965 11471958 19119930 23581247 28679895 47162494 57359790 70743741 117906235 141487482 212231223 235812470 353718705 424462446 707437410 1061156115 2122312230