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22132034122200 = 23352191193124207
BaseRepresentation
bin1010000100001000001000…
…00010000011000111011000
32220100210122111210201022220
411002010010002003013120
510400102401213402300
6115023152140344040
74442662303033512
oct502040402030730
986323574721286
1022132034122200
117063163310082
122595405545020
13c47070c83322
145672a63d4bb2
15285a89579da0
hex1421040831d8

22132034122200 has 96 divisors (see below), whose sum is σ = 68968517160960. Its totient is φ = 5870975862400.

The previous prime is 22132034122189. The next prime is 22132034122201. The reversal of 22132034122200 is 222143023122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132034122201) 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 23 ways as a sum of consecutive naturals, for example, 96447504 + ... + 96676703.

It is an arithmetic number, because the mean of its divisors is an integer number (718422053760).

Almost surely, 222132034122200 is an apocalyptic number.

22132034122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132034122200 is an abundant number, since it is smaller than the sum of its proper divisors (46836483038760).

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

22132034122200 is a wasteful number, since it uses less digits than its factorization.

22132034122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193124417 (or 193124408 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22132034122200 its reverse (222143023122), we get a palindrome (22354177145322).

The spelling of 22132034122200 in words is "twenty-two trillion, one hundred thirty-two billion, thirty-four million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 28650 38200 57300 114600 193124207 386248414 579372621 772496828 965621035 1158745242 1544993656 1931242070 2317490484 2896863105 3862484140 4634980968 4828105175 5793726210 7724968280 9656210350 11587452420 14484315525 19312420700 23174904840 28968631050 36886723537 38624841400 57937262100 73773447074 110660170611 115874524200 147546894148 184433617685 221320341222 295093788296 368867235370 442640682444 553300853055 737734470740 885281364888 922168088425 1106601706110 1475468941480 1844336176850 2213203412220 2766504265275 3688672353700 4426406824440 5533008530550 7377344707400 11066017061100 22132034122200