Search a number
-
+
224220447 = 33114397181
BaseRepresentation
bin11010101110101…
…01010100011111
3120121220120122000
431113111110133
5424400023242
634125453343
75361561633
oct1527252437
9517816560
10224220447
11105626160
1263111253
13375b7729
1421ac8dc3
1514a40a4c
hexd5d551f

224220447 has 64 divisors (see below), whose sum is σ = 376696320. Its totient is φ = 130636800.

The previous prime is 224220443. The next prime is 224220457. The reversal of 224220447 is 744022422.

It is not a de Polignac number, because 224220447 - 22 = 224220443 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224220447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224220443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1238697 + ... + 1238877.

It is an arithmetic number, because the mean of its divisors is an integer number (5885880).

Almost surely, 2224220447 is an apocalyptic number.

224220447 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

224220447 is a deficient number, since it is larger than the sum of its proper divisors (152475873).

224220447 is a wasteful number, since it uses less digits than its factorization.

224220447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 224220447 is about 14973.9923534106. The cubic root of 224220447 is about 607.5169573075.

Adding to 224220447 its reverse (744022422), we get a palindrome (968242869).

The spelling of 224220447 in words is "two hundred twenty-four million, two hundred twenty thousand, four hundred forty-seven".

Divisors: 1 3 9 11 27 33 43 97 99 129 181 291 297 387 473 543 873 1067 1161 1419 1629 1991 2619 3201 4171 4257 4887 5973 7783 9603 12513 12771 17557 17919 23349 28809 37539 45881 52671 53757 70047 85613 112617 137643 158013 193127 210141 256839 412929 474039 579381 754951 770517 1238787 1738143 2264853 2311551 5214429 6794559 8304461 20383677 24913383 74740149 224220447