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2112232220 = 2257217912041
BaseRepresentation
bin111110111100110…
…0001101100011100
312110012112111212222
41331321201230130
513311212412340
6545332244512
7103225451300
oct17571415434
95405474788
102112232220
1199433336a
124ab470738
132787b1767
14160751d00
15c56818b5
hex7de61b1c

2112232220 has 72 divisors (see below), whose sum is σ = 5189138640. Its totient is φ = 720088320.

The previous prime is 2112232189. The next prime is 2112232229. The reversal of 2112232220 is 222322112.

It is a super-2 number, since 2×21122322202 = 8923049902412256800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112232229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169400 + ... + 181440.

It is an arithmetic number, because the mean of its divisors is an integer number (72071370).

Almost surely, 22112232220 is an apocalyptic number.

2112232220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594569320).

2112232220 is an abundant number, since it is smaller than the sum of its proper divisors (3076906420).

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

2112232220 is a wasteful number, since it uses less digits than its factorization.

2112232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12243 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2112232220 is about 45959.0276224378. The cubic root of 2112232220 is about 1283.0607538622.

Adding to 2112232220 its reverse (222322112), we get a palindrome (2334554332).

The spelling of 2112232220 in words is "two billion, one hundred twelve million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 179 196 245 358 490 716 895 980 1253 1790 2506 3580 5012 6265 8771 12041 12530 17542 24082 25060 35084 43855 48164 60205 84287 87710 120410 168574 175420 240820 337148 421435 590009 842870 1180018 1685740 2155339 2360036 2950045 4310678 5900090 8621356 10776695 11800180 15087373 21553390 30174746 43106780 60349492 75436865 105611611 150873730 211223222 301747460 422446444 528058055 1056116110 2112232220