Search a number
-
+
22385440043575 = 5272195331357977
BaseRepresentation
bin1010001011100000001000…
…01100111011001000110111
32221021000201210202022020021
411011300010030323020313
510413230340122343300
6115335421300550011
74500203033602300
oct505600414731067
987230653668207
1022385440043575
117150680354484
1226165466b2307
13c64c2685c2bb
145756652b57a7
1528c46b3bad1a
hex145c0433b237

22385440043575 has 144 divisors (see below), whose sum is σ = 34741869369120. Its totient is φ = 14221911674880.

The previous prime is 22385440043567. The next prime is 22385440043587. The reversal of 22385440043575 is 57534004458322.

It is a happy number.

It is not a de Polignac number, because 22385440043575 - 23 = 22385440043567 is a prime.

It is a super-2 number, since 2×223854400435752 (a number of 28 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 143 ways as a sum of consecutive naturals, for example, 386079987 + ... + 386137963.

It is an arithmetic number, because the mean of its divisors is an integer number (241262981730).

Almost surely, 222385440043575 is an apocalyptic number.

22385440043575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22385440043575 is a deficient number, since it is larger than the sum of its proper divisors (12356429325545).

22385440043575 is a wasteful number, since it uses less digits than its factorization.

22385440043575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58386 (or 58374 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 52.

The spelling of 22385440043575 in words is "twenty-two trillion, three hundred eighty-five billion, four hundred forty million, forty-three thousand, five hundred seventy-five".

Divisors: 1 5 7 19 25 35 49 53 95 133 175 245 265 313 371 475 665 931 1007 1225 1325 1565 1855 2191 2597 3325 4655 5035 5947 7049 7825 9275 10955 12985 15337 16589 23275 25175 29735 35245 41629 49343 54775 57977 64925 76685 82945 116123 148675 176225 208145 246715 289885 291403 315191 383425 405839 414725 580615 812861 1040725 1101563 1233575 1449425 1457015 1575955 2029195 2206337 2840873 2903075 3072781 4064305 5507815 7285075 7710941 7879775 10145975 11031685 14204365 15363905 15444359 18146801 20321525 21509467 27539075 38554705 53976587 55158425 58382839 71021825 76819525 77221795 90734005 107547335 127027607 150566269 192773525 269882935 291914195 344789219 386108975 408679873 453670025 537736675 635138035 752831345 889193249 961780453 1349414675 1459570975 1723946095 2043399365 2413524533 2860759111 3175690175 3764156725 4445966245 4808902265 6732463171 8619730475 10216996825 12067622665 14303795555 16894671731 18273828607 22229831225 24044511325 33662315855 47127242197 60338113325 71518977775 84473358655 91369143035 127916800249 168311579275 235636210985 422366793275 456845715175 639584001245 895417601743 1178181054925 3197920006225 4477088008715 22385440043575