Search a number
-
+
22300315125 = 3531124111987
BaseRepresentation
bin10100110001001100…
…111100110111110101
32010120010222101101020
4110301030330313311
5331132340041000
614124501051353
71416423356664
oct246114746765
963503871336
1022300315125
119503a45900
1243a43b6b59
13214513034a
1411179d6ddb
158a7ba0ba0
hex53133cdf5

22300315125 has 96 divisors (see below), whose sum is σ = 41786140032. Its totient is φ = 10547680000.

The previous prime is 22300315117. The next prime is 22300315129. The reversal of 22300315125 is 52151300322.

It is a happy number.

It is not a de Polignac number, because 22300315125 - 23 = 22300315117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22300315095 and 22300315104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300315129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1854382 + ... + 1866368.

It is an arithmetic number, because the mean of its divisors is an integer number (435272292).

Almost surely, 222300315125 is an apocalyptic number.

22300315125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22300315125 is a deficient number, since it is larger than the sum of its proper divisors (19485824907).

22300315125 is a wasteful number, since it uses less digits than its factorization.

22300315125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12068 (or 12047 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 22300315125 its reverse (52151300322), we get a palindrome (74451615447).

The spelling of 22300315125 in words is "twenty-two billion, three hundred million, three hundred fifteen thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 41 55 75 121 123 125 165 205 275 363 375 451 605 615 825 1025 1353 1375 1815 2255 3025 3075 4125 4961 5125 6765 9075 11275 11987 14883 15125 15375 24805 33825 35961 45375 56375 59935 74415 124025 131857 169125 179805 299675 372075 395571 491467 620125 659285 899025 1450427 1474401 1498375 1860375 1977855 2457335 3296425 4351281 4495125 5406137 7252135 7372005 9889275 12286675 16218411 16482125 21756405 27030685 36260675 36860025 49446375 59467507 61433375 81092055 108782025 135153425 178402521 181303375 184300125 297337535 405460275 543910125 675767125 892012605 1486687675 2027301375 4460063025 7433438375 22300315125