Search a number
-
+
22022332200 = 233252111112239
BaseRepresentation
bin10100100000101000…
…100001111100101000
32002211202220101111100
4110200220201330220
5330100204112300
614041131001400
71406506510101
oct244050417450
962752811440
1022022332200
11938103a150
124327299260
1320cc670acb
1410ccb153a8
1588d590700
hex520a21f28

22022332200 has 144 divisors (see below), whose sum is σ = 80681889600. Its totient is φ = 5338742400.

The previous prime is 22022332187. The next prime is 22022332201. The reversal of 22022332200 is 223322022.

22022332200 is a `hidden beast` number, since 220 + 223 + 3 + 220 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22022332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536320 + ... + 575919.

It is an arithmetic number, because the mean of its divisors is an integer number (560290900).

Almost surely, 222022332200 is an apocalyptic number.

22022332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022332200 is an abundant number, since it is smaller than the sum of its proper divisors (58659557400).

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

22022332200 is a wasteful number, since it uses less digits than its factorization.

22022332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112272 (or 1112260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22022332200 its reverse (223322022), we get a palindrome (22245654222).

It can be divided in two parts, 2 and 2022332200, that added together give a palindrome (2022332202).

The spelling of 22022332200 in words is "twenty-two billion, twenty-two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 1112239 2224478 3336717 4448956 5561195 6673434 8897912 10010151 11122390 12234629 13346868 16683585 20020302 22244780 24469258 26693736 27805975 33367170 36703887 40040604 44489560 48938516 50050755 55611950 61173145 66734340 73407774 80081208 83417925 97877032 100101510 110111661 111223900 122346290 133468680 146815548 166835850 183519435 200203020 220223322 222447800 244692580 250253775 293631096 305865725 333671700 367038870 400406040 440446644 489385160 500507550 550558305 611731450 667343400 734077740 880893288 917597175 1001015100 1101116610 1223462900 1468155480 1835194350 2002030200 2202233220 2446925800 2752791525 3670388700 4404466440 5505583050 7340777400 11011166100 22022332200