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450135224 = 237112293191
BaseRepresentation
bin11010110101001…
…000010010111000
31011101000020102222
4122311020102320
51410213311344
6112355543212
714104041410
oct3265102270
91141006388
10450135224
112110a9290
121068bab08
1372346406
1443ad5640
15297b85ee
hex1ad484b8

450135224 has 64 divisors (see below), whose sum is σ = 1057190400. Its totient is φ = 174556800.

The previous prime is 450135181. The next prime is 450135227. The reversal of 450135224 is 422531054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450135193 and 450135202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450135227) 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 15 ways as a sum of consecutive naturals, for example, 139469 + ... + 142659.

It is an arithmetic number, because the mean of its divisors is an integer number (16518600).

Almost surely, 2450135224 is an apocalyptic number.

450135224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528595200).

450135224 is an abundant number, since it is smaller than the sum of its proper divisors (607055176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450135224 is a wasteful number, since it uses less digits than its factorization.

450135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 450135224 is about 21216.3904564372. The cubic root of 450135224 is about 766.3861828001.

Adding to 450135224 its reverse (422531054), we get a palindrome (872666278).

The spelling of 450135224 in words is "four hundred fifty million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 229 308 458 616 916 1603 1832 2519 3191 3206 5038 6382 6412 10076 12764 12824 17633 20152 22337 25528 35101 35266 44674 70202 70532 89348 140404 141064 178696 245707 280808 491414 730739 982828 1461478 1965656 2922956 5115173 5845912 8038129 10230346 16076258 20460692 32152516 40921384 56266903 64305032 112533806 225067612 450135224