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22132133313400 = 23521123437393939
BaseRepresentation
bin1010000100001000010011…
…11100011011101101111000
32220100210220102110011002001
411002010021330123231320
510400103102112012100
6115023210042350344
74442664616116625
oct502041174335570
986323812404061
1022132133313400
1170632042a9980
1225954327bb3b4
13c470886a2946
145672b565534c
15285a9311ed6a
hex142109f1bb78

22132133313400 has 96 divisors (see below), whose sum is σ = 58575796444800. Its totient is φ = 7698133308800.

The previous prime is 22132133313349. The next prime is 22132133313413. The reversal of 22132133313400 is 431333123122.

It is a super-2 number, since 2×221321333134002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218646370 + ... + 218747569.

It is an arithmetic number, because the mean of its divisors is an integer number (610164546300).

Almost surely, 222132133313400 is an apocalyptic number.

22132133313400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132133313400 is an abundant number, since it is smaller than the sum of its proper divisors (36443663131400).

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

22132133313400 is a wasteful number, since it uses less digits than its factorization.

22132133313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437393989 (or 437393980 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 22132133313400 its reverse (431333123122), we get a palindrome (22563466436522).

The spelling of 22132133313400 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 437393939 874787878 1749575756 2186969695 3499151512 4373939390 4811333329 8747878780 9622666658 10060060597 10934848475 17495757560 19245333316 20120121194 21869696950 24056666645 38490666632 40240242388 43739393900 48113333290 50300302985 80480484776 87478787800 96226666580 100600605970 110660666567 120283333225 192453333160 201201211940 221321333134 240566666450 251501514925 402402423880 442642666268 481133332900 503003029850 553303332835 885285332536 962266665800 1006006059700 1106606665670 2012012119400 2213213331340 2766516664175 4426426662680 5533033328350 11066066656700 22132133313400