Search a number
-
+
22828465 = 511297389
BaseRepresentation
bin101011100010…
…1010110110001
31120221210202201
41113011112301
521321002330
62133143201
7365016202
oct127052661
946853681
1022828465
1111982400
12778ab01
13496398a
1430635a9
15200deca
hex15c55b1

22828465 has 24 divisors (see below), whose sum is σ = 30499560. Its totient is φ = 16389120.

The previous prime is 22828459. The next prime is 22828469. The reversal of 22828465 is 56482822.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 22268961 = 748^2 + 4719^2 .

It is not a de Polignac number, because 22828465 - 29 = 22827953 is a prime.

It is a super-3 number, since 3×228284653 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22828469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58491 + ... + 58879.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815).

Almost surely, 222828465 is an apocalyptic number.

It is an amenable number.

22828465 is a deficient number, since it is larger than the sum of its proper divisors (7671095).

22828465 is a wasteful number, since it uses less digits than its factorization.

22828465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 22828465 is about 4777.9142939153. The cubic root of 22828465 is about 283.6779436277.

The spelling of 22828465 in words is "twenty-two million, eight hundred twenty-eight thousand, four hundred sixty-five".

Divisors: 1 5 11 55 97 121 389 485 605 1067 1945 4279 5335 11737 21395 37733 47069 58685 188665 235345 415063 2075315 4565693 22828465