Search a number
-
+
22012102000 = 245372954217
BaseRepresentation
bin10100100000000001…
…100000010101110000
32002211001122122022001
4110200001200111300
5330040044231000
614040123423344
71406323531330
oct244001402560
962731578261
1022012102000
119376292039
124323984b54
1320ca4cb535
1410cb6110c0
1588c71e46a
hex520060570

22012102000 has 160 divisors (see below), whose sum is σ = 62927579520. Its totient is φ = 7286630400.

The previous prime is 22012101983. The next prime is 22012102001. The reversal of 22012102000 is 20121022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378892 + ... + 433108.

It is an arithmetic number, because the mean of its divisors is an integer number (393297372).

Almost surely, 222012102000 is an apocalyptic number.

22012102000 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 22012102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31463789760).

22012102000 is an abundant number, since it is smaller than the sum of its proper divisors (40915477520).

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

22012102000 is a wasteful number, since it uses less digits than its factorization.

22012102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54276 (or 54260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22012102000 its reverse (20121022), we get a palindrome (22032223022).

The spelling of 22012102000 in words is "twenty-two billion, twelve million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 112 116 125 140 145 175 200 203 232 250 280 290 350 400 406 464 500 560 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2000 2030 2320 2800 2900 3248 3500 3625 4060 5075 5800 7000 7250 8120 10150 11600 14000 14500 16240 20300 25375 29000 40600 50750 54217 58000 81200 101500 108434 203000 216868 271085 379519 406000 433736 542170 759038 867472 1084340 1355425 1518076 1572293 1897595 2168680 2710850 3036152 3144586 3795190 4337360 5421700 6072304 6289172 6777125 7590380 7861465 9487975 10843400 11006051 12578344 13554250 15180760 15722930 18975950 21686800 22012102 25156688 27108500 30361520 31445860 37951900 39307325 44024204 47439875 54217000 55030255 62891720 75903800 78614650 88048408 94879750 108434000 110060510 125783440 151807600 157229300 176096816 189759500 196536625 220121020 275151275 314458600 379519000 393073250 440242040 550302550 628917200 759038000 786146500 880484080 1100605100 1375756375 1572293000 2201210200 2751512750 3144586000 4402420400 5503025500 11006051000 22012102000