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22540042125 = 3753412011
BaseRepresentation
bin10100111111011111…
…011011111110001101
32011011212001210000000
4110333133123332031
5332130222322000
614204343154513
71425364124346
oct247737337615
964155053000
1022540042125
1196172a2297
124450745a39
1321829b6b43
14113b79b0cd
158bdc56000
hex53f7dbf8d

22540042125 has 128 divisors (see below), whose sum is σ = 43239006720. Its totient is φ = 11722320000.

The previous prime is 22540042111. The next prime is 22540042139. The reversal of 22540042125 is 52124004522.

It is an interprime number because it is at equal distance from previous prime (22540042111) and next prime (22540042139).

It is not a de Polignac number, because 22540042125 - 214 = 22540025741 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11207370 + ... + 11209380.

It is an arithmetic number, because the mean of its divisors is an integer number (337804740).

Almost surely, 222540042125 is an apocalyptic number.

22540042125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22540042125 is a deficient number, since it is larger than the sum of its proper divisors (20698964595).

22540042125 is an frugal number, since it uses more digits than its factorization.

22540042125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 22540042125 its reverse (52124004522), we get a palindrome (74664046647).

The spelling of 22540042125 in words is "twenty-two billion, five hundred forty million, forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 125 135 205 225 243 369 375 405 615 675 729 1025 1107 1125 1215 1845 2011 2025 2187 3075 3321 3375 3645 5125 5535 6033 6075 9225 9963 10055 10125 10935 15375 16605 18099 18225 27675 29889 30165 30375 46125 49815 50275 54297 54675 82451 83025 89667 90495 91125 138375 149445 150825 162891 247353 249075 251375 271485 273375 412255 415125 448335 452475 488673 742059 747225 754125 814455 1236765 1245375 1357425 1466019 2061275 2226177 2241675 2262375 2443365 3710295 3736125 4072275 4398057 6183825 6678531 6787125 7330095 10306375 11130885 11208375 12216825 18551475 20035593 20361375 21990285 30919125 33392655 36650475 55654425 60106779 61084125 92757375 100177965 109951425 166963275 180320337 183252375 278272125 300533895 500889825 549757125 834816375 901601685 1502669475 2504449125 4508008425 7513347375 22540042125