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22315420225 = 527472839587
BaseRepresentation
bin10100110010000110…
…100100101001000001
32010121012101210200101
4110302012210221001
5331200221421400
614130200522401
71416665641120
oct246206445101
963535353611
1022315420225
11951152255a
1243a9480401
1321482bb787
141119a09ab7
158a918656a
hex5321a4a41

22315420225 has 48 divisors (see below), whose sum is σ = 32414496768. Its totient is φ = 14921951040.

The previous prime is 22315420177. The next prime is 22315420247. The reversal of 22315420225 is 52202451322.

It is not a de Polignac number, because 22315420225 - 217 = 22315289153 is a prime.

It is a super-3 number, since 3×223154202253 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22315420193 and 22315420202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2322882 + ... + 2332468.

It is an arithmetic number, because the mean of its divisors is an integer number (675302016).

Almost surely, 222315420225 is an apocalyptic number.

22315420225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22315420225 is a deficient number, since it is larger than the sum of its proper divisors (10099076543).

22315420225 is a wasteful number, since it uses less digits than its factorization.

22315420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 22315420225 its reverse (52202451322), we get a palindrome (74517871547).

The spelling of 22315420225 in words is "twenty-two billion, three hundred fifteen million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 47 175 235 283 329 1175 1415 1645 1981 7075 8225 9587 9905 13301 47935 49525 66505 67109 93107 239675 332525 335545 450589 465535 1677725 2252945 2327675 2713121 3154123 11264725 13565605 15770615 18991847 67828025 78853075 94959235 127516687 474796175 637583435 892616809 3187917175 4463084045 22315420225