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440226144 = 2533509521
BaseRepresentation
bin11010001111010…
…101000101100000
31010200100210202000
4122033111011200
51400144214034
6111403324000
713623601101
oct3217250540
91120323660
10440226144
11206550466
12103520600
1370287057
14426763a8
15289ac599
hex1a3d5160

440226144 has 48 divisors (see below), whose sum is σ = 1283995440. Its totient is φ = 146741760.

The previous prime is 440226097. The next prime is 440226161. The reversal of 440226144 is 441622044.

It is a happy number.

440226144 is a `hidden beast` number, since 4 + 40 + 2 + 2 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4402261442 = 387598115722217472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 253897 + ... + 255624.

It is an arithmetic number, because the mean of its divisors is an integer number (26749905).

Almost surely, 2440226144 is an apocalyptic number.

It is an amenable number.

440226144 is an abundant number, since it is smaller than the sum of its proper divisors (843769296).

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

440226144 is a wasteful number, since it uses less digits than its factorization.

440226144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509540 (or 509526 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 440226144 is about 20981.5667670458. The cubic root of 440226144 is about 760.7207751196.

Adding to 440226144 its reverse (441622044), we get a palindrome (881848188).

The spelling of 440226144 in words is "four hundred forty million, two hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 509521 1019042 1528563 2038084 3057126 4076168 4585689 6114252 8152336 9171378 12228504 13757067 16304672 18342756 24457008 27514134 36685512 48914016 55028268 73371024 110056536 146742048 220113072 440226144